102201012122000 has 320 divisors, whose sum is σ = 286428755957760. Its totient is φ = 34878942144000.

The previous prime is 102201012121987. The next prime is 102201012122023. The reversal of 102201012122000 is 221210102201.

102201012122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102201012122000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43583477 + ... + 45868523.

It is an arithmetic number, because the mean of its divisors is an integer number (895089862368).

Almost surely, 2^{102201012122000} is an apocalyptic number.

102201012122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102201012122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143214377978880).

102201012122000 is an abundant number, since it is smaller than the sum of its proper divisors (184227743835760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102201012122000 is a wasteful number, since it uses less digits than its factorization.

102201012122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285207 (or 2285191 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102201012122000 its reverse (221210102201), we get a palindrome (102422222224201).

The spelling of 102201012122000 in words is "one hundred two trillion, two hundred one billion, twelve million, one hundred twenty-two thousand".