101010200220112 has 80 divisors (see below), whose sum is σ = 208917239762304. Its totient is φ = 47145738240000.

The previous prime is 101010200220107. The next prime is 101010200220133. The reversal of 101010200220112 is 211022002010101.

It is a super-2 number, since 2×101010200220112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101010200220092 and 101010200220101.

It is a congruent number.

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, 24408787 + ... + 28245517.

Almost surely, 2^{101010200220112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010200220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104458619881152).

101010200220112 is an abundant number, since it is smaller than the sum of its proper divisors (107907039542192).

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

101010200220112 is a wasteful number, since it uses less digits than its factorization.

101010200220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837548 (or 3837542 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101010200220112 its reverse (211022002010101), we get a palindrome (312032202230213).

The spelling of 101010200220112 in words is "one hundred one trillion, ten billion, two hundred million, two hundred twenty thousand, one hundred twelve".