101220212021200 has 30 divisors (see below), whose sum is σ = 243181559381894. Its totient is φ = 40488084808320.

The previous prime is 101220212021189. The next prime is 101220212021261. The reversal of 101220212021200 is 2120212022101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 21279807376 + 101198932213824 = 145876^2 + 10059768^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126525264627 + ... + 126525265426.

Almost surely, 2^{101220212021200} is an apocalyptic number.

101220212021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220212021200 is an abundant number, since it is smaller than the sum of its proper divisors (141961347360694).

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

101220212021200 is a wasteful number, since it uses less digits than its factorization.

101220212021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253050530071 (or 253050530060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101220212021200 its reverse (2120212022101), we get a palindrome (103340424043301).

Subtracting from 101220212021200 its reverse (2120212022101), we obtain a palindrome (99099999999099).

The spelling of 101220212021200 in words is "one hundred one trillion, two hundred twenty billion, two hundred twelve million, twenty-one thousand, two hundred".