102061921900 has 72 divisors (see below), whose sum is σ = 233281944000. Its totient is φ = 38651042880.

The previous prime is 102061921879. The next prime is 102061921943. The reversal of 102061921900 is 9129160201.

It is a super-2 number, since 2×102061921900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3059511 + ... + 3092689.

It is an arithmetic number, because the mean of its divisors is an integer number (3240027000).

Almost surely, 2^102061921900 is an apocalyptic number.

102061921900 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 102061921900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116640972000).

102061921900 is an abundant number, since it is smaller than the sum of its proper divisors (131220022100).

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

102061921900 is a wasteful number, since it uses less digits than its factorization.

102061921900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34831 (or 34824 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 102061921900 in words is "one hundred two billion, sixty-one million, nine hundred twenty-one thousand, nine hundred".