101102112012 has 48 divisors (see below), whose sum is σ = 265652481024. Its totient is φ = 29648712000.

The previous prime is 101102111993. The next prime is 101102112091. The reversal of 101102112012 is 210211201101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 12349539 + ... + 12357722.

It is an arithmetic number, because the mean of its divisors is an integer number (5534426688).

Almost surely, 2^101102112012 is an apocalyptic number.

101102112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101102112012 is an abundant number, since it is smaller than the sum of its proper divisors (164550369012).

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

101102112012 is a wasteful number, since it uses less digits than its factorization.

101102112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24707310 (or 24707308 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101102112012 its reverse (210211201101), we get a palindrome (311313313113).

The spelling of 101102112012 in words is "one hundred one billion, one hundred two million, one hundred twelve thousand, twelve".