102001200000 has 384 divisors, whose sum is σ = 387065226240. Its totient is φ = 23312640000.

The previous prime is 102001199981. The next prime is 102001200029. The reversal of 102001200000 is 2100201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8393929 + ... + 8406071.

It is an arithmetic number, because the mean of its divisors is an integer number (1007982360).

Almost surely, 2^102001200000 is an apocalyptic number.

102001200000 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 102001200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193532613120).

102001200000 is an abundant number, since it is smaller than the sum of its proper divisors (285064026240).

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

102001200000 is an frugal number, since it uses more digits than its factorization.

102001200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12192 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 102001200000 its reverse (2100201), we get a palindrome (102003300201).

The spelling of 102001200000 in words is "one hundred two billion, one million, two hundred thousand".