102033230100100 has 72 divisors (see below), whose sum is σ = 238448622952008. Its totient is φ = 37673047603200.

The previous prime is 102033230100031. The next prime is 102033230100103. The reversal of 102033230100100 is 1001032330201.

It can be written as a sum of positive squares in 12 ways, for example, as 49791905970244 + 52241324129856 = 7056338^2 + 7227816^2 .

It is not an unprimeable number, because it can be changed into a prime (102033230100103) 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, 65789580 + ... + 67322620.

It is an arithmetic number, because the mean of its divisors is an integer number (3311786429889).

Almost surely, 2^{102033230100100} is an apocalyptic number.

102033230100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102033230100100 is an abundant number, since it is smaller than the sum of its proper divisors (136415392851908).

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

102033230100100 is a wasteful number, since it uses less digits than its factorization.

102033230100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584265 (or 1584258 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 102033230100100 its reverse (1001032330201), we get a palindrome (103034262430301).

The spelling of 102033230100100 in words is "one hundred two trillion, thirty-three billion, two hundred thirty million, one hundred thousand, one hundred".