101012200100112 has 320 divisors, whose sum is σ = 316610216792064. Its totient is φ = 27090652692480.

The previous prime is 101012200100093. The next prime is 101012200100159. The reversal of 101012200100112 is 211001002210101.

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 63 ways as a sum of consecutive naturals, for example, 7694988493 + ... + 7695001619.

Almost surely, 2^{101012200100112} is an apocalyptic number.

101012200100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012200100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158305108396032).

101012200100112 is an abundant number, since it is smaller than the sum of its proper divisors (215598016691952).

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

101012200100112 is a wasteful number, since it uses less digits than its factorization.

101012200100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16646 (or 16640 counting only the distinct ones).

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

Adding to 101012200100112 its reverse (211001002210101), we get a palindrome (312013202310213).

The spelling of 101012200100112 in words is "one hundred one trillion, twelve billion, two hundred million, one hundred thousand, one hundred twelve".