102201110010120 has 64 divisors (see below), whose sum is σ = 334476360037440. Its totient is φ = 24776026668800.

The previous prime is 102201110010119. The next prime is 102201110010151. The reversal of 102201110010120 is 21010011102201.

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 = 102201110010096 and 102201110010105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38712540351 + ... + 38712542990.

It is an arithmetic number, because the mean of its divisors is an integer number (5226193125585).

Almost surely, 2^{102201110010120} is an apocalyptic number.

102201110010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201110010120 is an abundant number, since it is smaller than the sum of its proper divisors (232275250027320).

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

102201110010120 is a wasteful number, since it uses less digits than its factorization.

102201110010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77425083366 (or 77425083362 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102201110010120 its reverse (21010011102201), we get a palindrome (123211121112321).

The spelling of 102201110010120 in words is "one hundred two trillion, two hundred one billion, one hundred ten million, ten thousand, one hundred twenty".