101202002212200 has 96 divisors (see below), whose sum is σ = 315038869257600. Its totient is φ = 26874283394560.

The previous prime is 101202002212189. The next prime is 101202002212219. The reversal of 101202002212200 is 2212200202101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101202002212200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352722717 + ... + 353009516.

It is an arithmetic number, because the mean of its divisors is an integer number (3281654888100).

Almost surely, 2^{101202002212200} is an apocalyptic number.

101202002212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202002212200 is an abundant number, since it is smaller than the sum of its proper divisors (213836867045400).

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

101202002212200 is a wasteful number, since it uses less digits than its factorization.

101202002212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705732491 (or 705732482 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101202002212200 its reverse (2212200202101), we get a palindrome (103414202414301).

The spelling of 101202002212200 in words is "one hundred one trillion, two hundred two billion, two million, two hundred twelve thousand, two hundred".