102121201200120 has 128 divisors (see below), whose sum is σ = 324390824274240. Its totient is φ = 25629958307840.

The previous prime is 102121201200107. The next prime is 102121201200133. The reversal of 102121201200120 is 21002102121201.

It is an interprime number because it is at equal distance from previous prime (102121201200107) and next prime (102121201200133).

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 102121201200120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121084204 + ... + 121924676.

Almost surely, 2^{102121201200120} is an apocalyptic number.

102121201200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121201200120 is an abundant number, since it is smaller than the sum of its proper divisors (222269623074120).

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

102121201200120 is a wasteful number, since it uses less digits than its factorization.

102121201200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900065 (or 900061 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102121201200120 its reverse (21002102121201), we get a palindrome (123123303321321).

The spelling of 102121201200120 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred one million, two hundred thousand, one hundred twenty".