100013202121032 has 96 divisors (see below), whose sum is σ = 275318527236480. Its totient is φ = 32792279708160.

The previous prime is 100013202120947. The next prime is 100013202121081. The reversal of 100013202121032 is 230121202310001.

100013202121032 is a `hidden beast` number, since 100 + 0 + 1 + 320 + 2 + 1 + 210 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100013202120996 and 100013202121014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20378188 + ... + 24805179.

It is an arithmetic number, because the mean of its divisors is an integer number (2867901325380).

Almost surely, 2^{100013202121032} is an apocalyptic number.

100013202121032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100013202121032 is an abundant number, since it is smaller than the sum of its proper divisors (175305325115448).

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

100013202121032 is a wasteful number, since it uses less digits than its factorization.

100013202121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45183883 (or 45183876 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100013202121032 its reverse (230121202310001), we get a palindrome (330134404431033).

The spelling of 100013202121032 in words is "one hundred trillion, thirteen billion, two hundred two million, one hundred twenty-one thousand, thirty-two".