10102032103100 has 144 divisors (see below), whose sum is σ = 25084243838976. Its totient is φ = 3459243456000.

The previous prime is 10102032103091. The next prime is 10102032103147. The reversal of 10102032103100 is 130123020101.

It is a super-2 number, since 2×10102032103100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3726310745 + ... + 3726313455.

Almost surely, 2^{10102032103100} is an apocalyptic number.

10102032103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102032103100 is an abundant number, since it is smaller than the sum of its proper divisors (14982211735876).

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

10102032103100 is a wasteful number, since it uses less digits than its factorization.

10102032103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7396 (or 7389 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10102032103100 its reverse (130123020101), we get a palindrome (10232155123201).

The spelling of 10102032103100 in words is "ten trillion, one hundred two billion, thirty-two million, one hundred three thousand, one hundred".