101220202011200 has 84 divisors (see below), whose sum is σ = 249129953786340. Its totient is φ = 40477515325440.

The previous prime is 101220202011179. The next prime is 101220202011209. The reversal of 101220202011200 is 2110202022101.

It can be written as a sum of positive squares in 6 ways, for example, as 26970821902336 + 74249380108864 = 5193344^2 + 8616808^2 .

It is not an unprimeable number, because it can be changed into a prime (101220202011209) 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, 2119565 + ... + 14385164.

Almost surely, 2^{101220202011200} is an apocalyptic number.

101220202011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220202011200 is an abundant number, since it is smaller than the sum of its proper divisors (147909751775140).

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

101220202011200 is a wasteful number, since it uses less digits than its factorization.

101220202011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16508584 (or 16508569 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101220202011200 its reverse (2110202022101), we get a palindrome (103330404033301).

The spelling of 101220202011200 in words is "one hundred one trillion, two hundred twenty billion, two hundred two million, eleven thousand, two hundred".