101201102112012 has 96 divisors (see below), whose sum is σ = 270291963648000. Its totient is φ = 28869378842880.

The previous prime is 101201102111971. The next prime is 101201102112017. The reversal of 101201102112012 is 210211201102101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101201102111982 and 101201102112000.

It is not an unprimeable number, because it can be changed into a prime (101201102112017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157688718 + ... + 158329194.

It is an arithmetic number, because the mean of its divisors is an integer number (2815541288000).

Almost surely, 2^{101201102112012} is an apocalyptic number.

101201102112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201102112012 is an abundant number, since it is smaller than the sum of its proper divisors (169090861535988).

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

101201102112012 is a wasteful number, since it uses less digits than its factorization.

101201102112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643431 (or 643429 counting only the distinct ones).

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

Adding to 101201102112012 its reverse (210211201102101), we get a palindrome (311412303214113).

The spelling of 101201102112012 in words is "one hundred one trillion, two hundred one billion, one hundred two million, one hundred twelve thousand, twelve".