101202212211200 has 120 divisors (see below), whose sum is σ = 254846821718940. Its totient is φ = 39817263513600.

The previous prime is 101202212211167. The next prime is 101202212211209. The reversal of 101202212211200 is 2112212202101.

It can be written as a sum of positive squares in 6 ways, for example, as 92912793856 + 101109299417344 = 304816^2 + 10055312^2 .

It is not an unprimeable number, because it can be changed into a prime (101202212211209) 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, 64025945 + ... + 65587544.

Almost surely, 2^{101202212211200} is an apocalyptic number.

101202212211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202212211200 is an abundant number, since it is smaller than the sum of its proper divisors (153644609507740).

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

101202212211200 is an equidigital number, since it uses as much as digits as its factorization.

101202212211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129613578 (or 129613557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101202212211200 its reverse (2112212202101), we get a palindrome (103314424413301).

Subtracting from 101202212211200 its reverse (2112212202101), we obtain a palindrome (99090000009099).

The spelling of 101202212211200 in words is "one hundred one trillion, two hundred two billion, two hundred twelve million, two hundred eleven thousand, two hundred".