101122011012 has 48 divisors (see below), whose sum is σ = 257420749824. Its totient is φ = 30640740000.

The previous prime is 101122010993. The next prime is 101122011031. The reversal of 101122011012 is 210110221101.

It is an interprime number because it is at equal distance from previous prime (101122010993) and next prime (101122011031).

It is a super-2 number, since 2×101122011012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2779137 + ... + 2815287.

It is an arithmetic number, because the mean of its divisors is an integer number (5362932288).

Almost surely, 2^101122011012 is an apocalyptic number.

101122011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122011012 is an abundant number, since it is smaller than the sum of its proper divisors (156298738812).

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

101122011012 is a wasteful number, since it uses less digits than its factorization.

101122011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57360 (or 57358 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101122011012 its reverse (210110221101), we get a palindrome (311232232113).

The spelling of 101122011012 in words is "one hundred one billion, one hundred twenty-two million, eleven thousand, twelve".