101002200011200 has 84 divisors (see below), whose sum is σ = 248639646247272. Its totient is φ = 40382818278400.

The previous prime is 101002200011183. The next prime is 101002200011243. The reversal of 101002200011200 is 2110002200101.

101002200011200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10530406 + ... + 17688805.

It is an arithmetic number, because the mean of its divisors is an integer number (2959995788658).

Almost surely, 2^{101002200011200} is an apocalyptic number.

101002200011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002200011200 is an abundant number, since it is smaller than the sum of its proper divisors (147637446236072).

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

101002200011200 is a wasteful number, since it uses less digits than its factorization.

101002200011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28221470 (or 28221455 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101002200011200 its reverse (2110002200101), we get a palindrome (103112202211301).

The spelling of 101002200011200 in words is "one hundred one trillion, two billion, two hundred million, eleven thousand, two hundred".