101122011100012 has 48 divisors (see below), whose sum is σ = 202542810301440. Its totient is φ = 43273989171072.

The previous prime is 101122011100009. The next prime is 101122011100021. The reversal of 101122011100012 is 210001110221101.

It is a happy number.

It is a super-2 number, since 2×101122011100012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101122011099965 and 101122011100001.

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, 239299303 + ... + 239721505.

It is an arithmetic number, because the mean of its divisors is an integer number (4219641881280).

Almost surely, 2^{101122011100012} is an apocalyptic number.

It is an amenable number.

101122011100012 is an abundant number, since it is smaller than the sum of its proper divisors (101420799201428).

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

101122011100012 is a wasteful number, since it uses less digits than its factorization.

101122011100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434830 (or 434828 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101122011100012 its reverse (210001110221101), we get a palindrome (311123121321113).

The spelling of 101122011100012 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, one hundred thousand, twelve".