102101222112210 has 48 divisors (see below), whose sum is σ = 265501260198720. Its totient is φ = 27223086644640.

The previous prime is 102101222112187. The next prime is 102101222112269. The reversal of 102101222112210 is 12211222101201.

102101222112210 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 22 + 211 + 221 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80742430 + ... + 81997209.

It is an arithmetic number, because the mean of its divisors is an integer number (5531276254140).

Almost surely, 2^{102101222112210} is an apocalyptic number.

102101222112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102101222112210 is an abundant number, since it is smaller than the sum of its proper divisors (163400038086510).

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

102101222112210 is a wasteful number, since it uses less digits than its factorization.

102101222112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162746623 (or 162746620 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102101222112210 its reverse (12211222101201), we get a palindrome (114312444213411).

The spelling of 102101222112210 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-two million, one hundred twelve thousand, two hundred ten".