101201002202112 has 264 divisors, whose sum is σ = 288794355907584. Its totient is φ = 31499304173568.

The previous prime is 101201002202101. The next prime is 101201002202137. The reversal of 101201002202112 is 211202200102101.

It is a junction number, because it is equal to n+sod(n) for n = 101201002202091 and 101201002202100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112302838 + ... + 113200394.

Almost surely, 2^{101201002202112} is an apocalyptic number.

101201002202112 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 101201002202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144397177953792).

101201002202112 is an abundant number, since it is smaller than the sum of its proper divisors (187593353705472).

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

101201002202112 is a wasteful number, since it uses less digits than its factorization.

101201002202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897741 (or 897706 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101201002202112 its reverse (211202200102101), we get a palindrome (312403202304213).

The spelling of 101201002202112 in words is "one hundred one trillion, two hundred one billion, two million, two hundred two thousand, one hundred twelve".