101232110210100 has 72 divisors (see below), whose sum is σ = 293714111718720. Its totient is φ = 26920033735680.

The previous prime is 101232110210039. The next prime is 101232110210111. The reversal of 101232110210100 is 1012011232101.

It is a super-2 number, since 2×101232110210100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101232110210100.

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 23 ways as a sum of consecutive naturals, for example, 469864957 + ... + 470080356.

It is an arithmetic number, because the mean of its divisors is an integer number (4079362662760).

Almost surely, 2^{101232110210100} is an apocalyptic number.

101232110210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101232110210100 is an abundant number, since it is smaller than the sum of its proper divisors (192482001508620).

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

101232110210100 is a wasteful number, since it uses less digits than its factorization.

101232110210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939945689 (or 939945682 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101232110210100 its reverse (1012011232101), we get a palindrome (102244121442201).

The spelling of 101232110210100 in words is "one hundred one trillion, two hundred thirty-two billion, one hundred ten million, two hundred ten thousand, one hundred".