102201012000120 has 128 divisors (see below), whose sum is σ = 335407728960000. Its totient is φ = 24706988858880.

The previous prime is 102201012000107. The next prime is 102201012000149. The reversal of 102201012000120 is 21000210102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102201012000096 and 102201012000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107360395 + ... + 108308154.

It is an arithmetic number, because the mean of its divisors is an integer number (2620372882500).

Almost surely, 2^{102201012000120} is an apocalyptic number.

102201012000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201012000120 is an abundant number, since it is smaller than the sum of its proper divisors (233206716959880).

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

102201012000120 is a wasteful number, since it uses less digits than its factorization.

102201012000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215668933 (or 215668929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102201012000120 its reverse (21000210102201), we get a palindrome (123201222102321).

The spelling of 102201012000120 in words is "one hundred two trillion, two hundred one billion, twelve million, one hundred twenty", and thus it is an aban number.