101122122010 has 64 divisors (see below), whose sum is σ = 226079884800. Its totient is φ = 31709843712.

The previous prime is 101122121953. The next prime is 101122122037. The reversal of 101122122010 is 10221221101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410550 + ... + 608929.

It is an arithmetic number, because the mean of its divisors is an integer number (3532498200).

Almost surely, 2^101122122010 is an apocalyptic number.

101122122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101122122010 is an abundant number, since it is smaller than the sum of its proper divisors (124957762790).

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

101122122010 is a wasteful number, since it uses less digits than its factorization.

101122122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019615.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101122122010 its reverse (10221221101), we get a palindrome (111343343111).

Subtracting from 101122122010 its reverse (10221221101), we obtain a palindrome (90900900909).

The spelling of 101122122010 in words is "one hundred one billion, one hundred twenty-two million, one hundred twenty-two thousand, ten".