101122012111212 has 144 divisors (see below), whose sum is σ = 272574443232000. Its totient is φ = 31519733731200.

The previous prime is 101122012111207. The next prime is 101122012111249. The reversal of 101122012111212 is 212111210221101.

It is a happy number.

101122012111212 is a `hidden beast` number, since 10 + 11 + 220 + 1 + 211 + 1 + 212 = 666.

It is a super-2 number, since 2×101122012111212² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 13097539 + ... + 19333637.

It is an arithmetic number, because the mean of its divisors is an integer number (1892878078000).

Almost surely, 2^{101122012111212} is an apocalyptic number.

101122012111212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122012111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136287221616000).

101122012111212 is an abundant number, since it is smaller than the sum of its proper divisors (171452431120788).

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

101122012111212 is a wasteful number, since it uses less digits than its factorization.

101122012111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236436 (or 6236431 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101122012111212 its reverse (212111210221101), we get a palindrome (313233222332313).

The spelling of 101122012111212 in words is "one hundred one trillion, one hundred twenty-two billion, twelve million, one hundred eleven thousand, two hundred twelve".