101112121012 has 48 divisors (see below), whose sum is σ = 203857315200. Its totient is φ = 42984115200.

The previous prime is 101112121007. The next prime is 101112121063. The reversal of 101112121012 is 210121211101.

It is a happy number.

It is a super-2 number, since 2×101112121012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112120983 and 101112121001.

It is a congruent number.

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, 11179212 + ... + 11188252.

It is an arithmetic number, because the mean of its divisors is an integer number (4247027400).

Almost surely, 2^101112121012 is an apocalyptic number.

It is an amenable number.

101112121012 is an abundant number, since it is smaller than the sum of its proper divisors (102745194188).

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

101112121012 is a wasteful number, since it uses less digits than its factorization.

101112121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12232 (or 12230 counting only the distinct ones).

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

Adding to 101112121012 its reverse (210121211101), we get a palindrome (311233332113).

The spelling of 101112121012 in words is "one hundred one billion, one hundred twelve million, one hundred twenty-one thousand, twelve".