102033211112100 has 216 divisors, whose sum is σ = 344478998703840. Its totient is φ = 25177350320640.

The previous prime is 102033211112099. The next prime is 102033211112159. The reversal of 102033211112100 is 1211112330201.

102033211112100 is a `hidden beast` number, since 1 + 0 + 20 + 3 + 321 + 111 + 210 + 0 = 666.

102033211112100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68646729 + ... + 70117328.

Almost surely, 2^{102033211112100} is an apocalyptic number.

102033211112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102033211112100 is an abundant number, since it is smaller than the sum of its proper divisors (242445787591740).

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

102033211112100 is a wasteful number, since it uses less digits than its factorization.

102033211112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138764139 (or 138764129 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102033211112100 its reverse (1211112330201), we get a palindrome (103244323442301).

The spelling of 102033211112100 in words is "one hundred two trillion, thirty-three billion, two hundred eleven million, one hundred twelve thousand, one hundred".