102120111314100 has 216 divisors, whose sum is σ = 352074752440320. Its totient is φ = 24756390331200.

The previous prime is 102120111313999. The next prime is 102120111314201. The reversal of 102120111314100 is 1413111021201.

102120111314100 is a `hidden beast` number, since 1 + 0 + 2 + 120 + 1 + 1 + 131 + 410 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102120111313999) and next prime (102120111314201).

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

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 71 ways as a sum of consecutive naturals, for example, 41426740 + ... + 43822539.

Almost surely, 2^{102120111314100} is an apocalyptic number.

102120111314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120111314100 is an abundant number, since it is smaller than the sum of its proper divisors (249954641126220).

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

102120111314100 is a wasteful number, since it uses less digits than its factorization.

102120111314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85249332 (or 85249300 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102120111314100 its reverse (1413111021201), we get a palindrome (103533222335301).

The spelling of 102120111314100 in words is "one hundred two trillion, one hundred twenty billion, one hundred eleven million, three hundred fourteen thousand, one hundred".