101012200102112 has 144 divisors (see below), whose sum is σ = 219972222439200. Its totient is φ = 45626270976000.

The previous prime is 101012200102111. The next prime is 101012200102117. The reversal of 101012200102112 is 211201002210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012200102111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64878362 + ... + 66417062.

It is an arithmetic number, because the mean of its divisors is an integer number (1527584878050).

Almost surely, 2^{101012200102112} 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 101012200102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109986111219600).

101012200102112 is an abundant number, since it is smaller than the sum of its proper divisors (118960022337088).

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

101012200102112 is a wasteful number, since it uses less digits than its factorization.

101012200102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538997 (or 1538976 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101012200102112 its reverse (211201002210101), we get a palindrome (312213202312213).

The spelling of 101012200102112 in words is "one hundred one trillion, twelve billion, two hundred million, one hundred two thousand, one hundred twelve".