101220220021200 has 240 divisors, whose sum is σ = 376637200926336. Its totient is φ = 22756770662400.

The previous prime is 101220220021183. The next prime is 101220220021231. The reversal of 101220220021200 is 2120022022101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×101220220021200² (a number of 29 digits) contains 22 as substring.

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 101220220021200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98258307 + ... + 99283106.

Almost surely, 2^{101220220021200} is an apocalyptic number.

101220220021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220220021200 is an abundant number, since it is smaller than the sum of its proper divisors (275416980905136).

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

101220220021200 is a wasteful number, since it uses less digits than its factorization.

101220220021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197541502 (or 197541491 counting only the distinct ones).

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

Adding to 101220220021200 its reverse (2120022022101), we get a palindrome (103340242043301).

The spelling of 101220220021200 in words is "one hundred one trillion, two hundred twenty billion, two hundred twenty million, twenty-one thousand, two hundred".