102210012200120 has 64 divisors (see below), whose sum is σ = 250915169046240. Its totient is φ = 37161936691200.

The previous prime is 102210012200111. The next prime is 102210012200123. The reversal of 102210012200120 is 21002210012201.

It is a junction number, because it is equal to n+sod(n) for n = 102210012200095 and 102210012200104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210012200123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13622657 + ... + 19748336.

Almost surely, 2^{102210012200120} is an apocalyptic number.

102210012200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210012200120 is an abundant number, since it is smaller than the sum of its proper divisors (148705156846120).

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

102210012200120 is a wasteful number, since it uses less digits than its factorization.

102210012200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33377976 (or 33377972 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102210012200120 its reverse (21002210012201), we get a palindrome (123212222212321).

The spelling of 102210012200120 in words is "one hundred two trillion, two hundred ten billion, twelve million, two hundred thousand, one hundred twenty".