101220221200212 has 72 divisors (see below), whose sum is σ = 277520577850152. Its totient is φ = 30980842444800.

The previous prime is 101220221200187. The next prime is 101220221200313. The reversal of 101220221200212 is 212002122022101.

It is a happy number.

101220221200212 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 221 + 200 + 21 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26857124652996 + 74363096547216 = 5182386^2 + 8623404^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2016956839 + ... + 2017007022.

It is an arithmetic number, because the mean of its divisors is an integer number (3854452470141).

Almost surely, 2^{101220221200212} is an apocalyptic number.

101220221200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101220221200212 is an abundant number, since it is smaller than the sum of its proper divisors (176300356649940).

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

101220221200212 is a wasteful number, since it uses less digits than its factorization.

101220221200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033963929 (or 4033963924 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101220221200212 its reverse (212002122022101), we get a palindrome (313222343222313).

The spelling of 101220221200212 in words is "one hundred one trillion, two hundred twenty billion, two hundred twenty-one million, two hundred thousand, two hundred twelve".