101002101011112 has 64 divisors (see below), whose sum is σ = 288636799651200. Its totient is φ = 28851806327040.

The previous prime is 101002101011069. The next prime is 101002101011129. The reversal of 101002101011112 is 211110101200101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61022787 + ... + 62656082.

It is an arithmetic number, because the mean of its divisors is an integer number (4509949994550).

Almost surely, 2^{101002101011112} is an apocalyptic number.

101002101011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002101011112 is an abundant number, since it is smaller than the sum of its proper divisors (187634698640088).

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

101002101011112 is a wasteful number, since it uses less digits than its factorization.

101002101011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123683746 (or 123683742 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101002101011112 its reverse (211110101200101), we get a palindrome (312112202211213).

The spelling of 101002101011112 in words is "one hundred one trillion, two billion, one hundred one million, eleven thousand, one hundred twelve".