101112000012 has 36 divisors (see below), whose sum is σ = 255623105920. Its totient is φ = 33699458592.

The previous prime is 101112000007. The next prime is 101112000013. The reversal of 101112000012 is 210000211101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101111999958 and 101112000003.

It is not an unprimeable number, because it can be changed into a prime (101112000013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87189 + ... + 458067.

Almost surely, 2^101112000012 is an apocalyptic number.

101112000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112000012 is an abundant number, since it is smaller than the sum of its proper divisors (154511105908).

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

101112000012 is a wasteful number, since it uses less digits than its factorization.

101112000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378462 (or 378457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101112000012 its reverse (210000211101), we get a palindrome (311112211113).

The spelling of 101112000012 in words is "one hundred one billion, one hundred twelve million, twelve", and thus it is an aban number.