10200122010100 has 72 divisors (see below), whose sum is σ = 24555733020000. Its totient is φ = 3646268553600.

The previous prime is 10200122010083. The next prime is 10200122010107. The reversal of 10200122010100 is 101022100201.

10200122010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200122010107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78518475 + ... + 78648274.

It is an arithmetic number, because the mean of its divisors is an integer number (341051847500).

Almost surely, 2^{10200122010100} is an apocalyptic number.

10200122010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200122010100 is an abundant number, since it is smaller than the sum of its proper divisors (14355611009900).

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

10200122010100 is a wasteful number, since it uses less digits than its factorization.

10200122010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157166833 (or 157166826 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10200122010100 its reverse (101022100201), we get a palindrome (10301144110301).

The spelling of 10200122010100 in words is "ten trillion, two hundred billion, one hundred twenty-two million, ten thousand, one hundred".