101122212100210 has 192 divisors, whose sum is σ = 213736106263680. Its totient is φ = 34345265310720.

The previous prime is 101122212100199. The next prime is 101122212100241. The reversal of 101122212100210 is 12001212221101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17926288990 + ... + 17926294630.

It is an arithmetic number, because the mean of its divisors is an integer number (1113208886790).

Almost surely, 2^{101122212100210} is an apocalyptic number.

101122212100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101122212100210 is an abundant number, since it is smaller than the sum of its proper divisors (112613894163470).

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

101122212100210 is a wasteful number, since it uses less digits than its factorization.

101122212100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6681 (or 6674 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101122212100210 its reverse (12001212221101), we get a palindrome (113123424321311).

The spelling of 101122212100210 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twelve million, one hundred thousand, two hundred ten".