101122122112212 has 24 divisors (see below), whose sum is σ = 235992208759776. Its totient is φ = 33701575394848.

The previous prime is 101122122112211. The next prime is 101122122112303. The reversal of 101122122112212 is 212211221221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122122112211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 724757658 + ... + 724897169.

It is an arithmetic number, because the mean of its divisors is an integer number (9833008698324).

Almost surely, 2^{101122122112212} is an apocalyptic number.

101122122112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122122112212 is an abundant number, since it is smaller than the sum of its proper divisors (134870086647564).

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

101122122112212 is a wasteful number, since it uses less digits than its factorization.

101122122112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449660647 (or 1449660645 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 101122122112212 its reverse (212211221221101), we get a palindrome (313333343333313).

The spelling of 101122122112212 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twelve".