101211122112 has 56 divisors (see below), whose sum is σ = 267868091136. Its totient is φ = 33726920448.

The previous prime is 101211122107. The next prime is 101211122137. The reversal of 101211122112 is 211221112101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101211122091 and 101211122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576783 + ... + 731505.

Almost surely, 2^101211122112 is an apocalyptic number.

101211122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211122112 is an abundant number, since it is smaller than the sum of its proper divisors (166656969024).

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

101211122112 is a wasteful number, since it uses less digits than its factorization.

101211122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158145 (or 158135 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101211122112 its reverse (211221112101), we get a palindrome (312432234213).

The spelling of 101211122112 in words is "one hundred one billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twelve".