101201012002112 has 112 divisors (see below), whose sum is σ = 219445943428800. Its totient is φ = 45923055144960.

The previous prime is 101201012002063. The next prime is 101201012002141. The reversal of 101201012002112 is 211200210102101.

It is a congruent number.

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, 3559766714 + ... + 3559795142.

Almost surely, 2^{101201012002112} 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 101201012002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109722971714400).

101201012002112 is an abundant number, since it is smaller than the sum of its proper divisors (118244931426688).

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

101201012002112 is a wasteful number, since it uses less digits than its factorization.

101201012002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36784 (or 36774 counting only the distinct ones).

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

Adding to 101201012002112 its reverse (211200210102101), we get a palindrome (312401222104213).

The spelling of 101201012002112 in words is "one hundred one trillion, two hundred one billion, twelve million, two thousand, one hundred twelve".