101202201121210 has 96 divisors (see below), whose sum is σ = 217089870612048. Its totient is φ = 33849043845120.

The previous prime is 101202201121201. The next prime is 101202201121223. The reversal of 101202201121210 is 12121102202101.

It can be written as a sum of positive squares in 8 ways, for example, as 7991923346001 + 93210277775209 = 2826999^2 + 9654547^2 .

It is a super-2 number, since 2×101202201121210² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274988842 + ... + 275356618.

Almost surely, 2^{101202201121210} is an apocalyptic number.

101202201121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101202201121210 is an abundant number, since it is smaller than the sum of its proper divisors (115887669490838).

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

101202201121210 is a wasteful number, since it uses less digits than its factorization.

101202201121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381536 (or 381529 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101202201121210 its reverse (12121102202101), we get a palindrome (113323303323311).

The spelling of 101202201121210 in words is "one hundred one trillion, two hundred two billion, two hundred one million, one hundred twenty-one thousand, two hundred ten".