10032210102100 has 18 divisors (see below), whose sum is σ = 21769895921774. Its totient is φ = 4012884040800.

The previous prime is 10032210101807. The next prime is 10032210102113. The reversal of 10032210102100 is 120101223001.

It can be written as a sum of positive squares in 3 ways, for example, as 1437380392464 + 8594829709636 = 1198908^2 + 2931694^2 .

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 5 ways as a sum of consecutive naturals, for example, 50161050411 + ... + 50161050610.

Almost surely, 2^{10032210102100} is an apocalyptic number.

10032210102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032210102100 is an abundant number, since it is smaller than the sum of its proper divisors (11737685819674).

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

10032210102100 is a wasteful number, since it uses less digits than its factorization.

10032210102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100322101035 (or 100322101028 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10032210102100 its reverse (120101223001), we get a palindrome (10152311325101).

The spelling of 10032210102100 in words is "ten trillion, thirty-two billion, two hundred ten million, one hundred two thousand, one hundred".