100210102110000 has 150 divisors (see below), whose sum is σ = 350449202185940. Its totient is φ = 26722693872000.

The previous prime is 100210102109941. The next prime is 100210102110043. The reversal of 100210102110000 is 11201012001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 29 ways as a sum of consecutive naturals, for example, 556632790 + ... + 556812789.

Almost surely, 2^{100210102110000} is an apocalyptic number.

100210102110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210102110000 is an abundant number, since it is smaller than the sum of its proper divisors (250239100075940).

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

100210102110000 is a wasteful number, since it uses less digits than its factorization.

100210102110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113445613 (or 1113445589 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100210102110000 its reverse (11201012001), we get a palindrome (100221303122001).

The spelling of 100210102110000 in words is "one hundred trillion, two hundred ten billion, one hundred two million, one hundred ten thousand".