101201000112 has 60 divisors (see below), whose sum is σ = 284492388544. Its totient is φ = 33582384000.

The previous prime is 101201000101. The next prime is 101201000177. The reversal of 101201000112 is 211000102101.

It is a happy number.

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 = 101201000094 and 101201000103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1543639 + ... + 1607862.

Almost surely, 2^101201000112 is an apocalyptic number.

101201000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201000112 is an abundant number, since it is smaller than the sum of its proper divisors (183291388432).

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

101201000112 is a wasteful number, since it uses less digits than its factorization.

101201000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151738 (or 3151729 counting only the distinct ones).

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

Adding to 101201000112 its reverse (211000102101), we get a palindrome (312201102213).

The spelling of 101201000112 in words is "one hundred one billion, two hundred one million, one hundred twelve", and thus it is an aban number.