101102002211200 has 96 divisors (see below), whose sum is σ = 253174821789960. Its totient is φ = 39886817218560.

The previous prime is 101102002211173. The next prime is 101102002211227. The reversal of 101102002211200 is 2112200201101.

It is an interprime number because it is at equal distance from previous prime (101102002211173) and next prime (101102002211227).

It is a super-2 number, since 2×101102002211200² (a number of 29 digits) contains 22 as substring.

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, 216166234 + ... + 216633433.

Almost surely, 2^{101102002211200} is an apocalyptic number.

101102002211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102002211200 is an abundant number, since it is smaller than the sum of its proper divisors (152072819578760).

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

101102002211200 is an equidigital number, since it uses as much as digits as its factorization.

101102002211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432799764 (or 432799747 counting only the distinct ones).

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

Adding to 101102002211200 its reverse (2112200201101), we get a palindrome (103214202412301).

The spelling of 101102002211200 in words is "one hundred one trillion, one hundred two billion, two million, two hundred eleven thousand, two hundred".