101002102211200 has 96 divisors (see below), whose sum is σ = 250303904284860. Its totient is φ = 40271764316160.

The previous prime is 101002102211189. The next prime is 101002102211203. The reversal of 101002102211200 is 2112201200101.

It can be written as a sum of positive squares in 6 ways, for example, as 92362503744 + 100909739707456 = 303912^2 + 10045384^2 .

It is not an unprimeable number, because it can be changed into a prime (101002102211203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49418779 + ... + 51421978.

Almost surely, 2^{101002102211200} is an apocalyptic number.

101002102211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002102211200 is an abundant number, since it is smaller than the sum of its proper divisors (149301802073660).

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

101002102211200 is a wasteful number, since it uses less digits than its factorization.

101002102211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100841094 (or 100841077 counting only the distinct ones).

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

Adding to 101002102211200 its reverse (2112201200101), we get a palindrome (103114303411301).

The spelling of 101002102211200 in words is "one hundred one trillion, two billion, one hundred two million, two hundred eleven thousand, two hundred".