101220120021200 has 30 divisors (see below), whose sum is σ = 243181338351894. Its totient is φ = 40488048008320.

The previous prime is 101220120021179. The next prime is 101220120021203. The reversal of 101220120021200 is 2120021022101.

It can be written as a sum of positive squares in 3 ways, for example, as 9511993559104 + 91708126462096 = 3084152^2 + 9576436^2 .

It is a super-2 number, since 2×101220120021200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220120021203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126525149627 + ... + 126525150426.

Almost surely, 2^{101220120021200} is an apocalyptic number.

101220120021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220120021200 is an abundant number, since it is smaller than the sum of its proper divisors (141961218330694).

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

101220120021200 is a wasteful number, since it uses less digits than its factorization.

101220120021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253050300071 (or 253050300060 counting only the distinct ones).

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

Adding to 101220120021200 its reverse (2120021022101), we get a palindrome (103340141043301).

The spelling of 101220120021200 in words is "one hundred one trillion, two hundred twenty billion, one hundred twenty million, twenty-one thousand, two hundred".