101021202222120 has 96 divisors (see below), whose sum is σ = 337192391245320. Its totient is φ = 26210906519040.

The previous prime is 101021202222119. The next prime is 101021202222151. The reversal of 101021202222120 is 21222202120101.

It is a happy number.

101021202222120 is a `hidden beast` number, since 10 + 10 + 212 + 0 + 222 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99143880238404 + 1877321983716 = 9957102^2 + 1370154^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101021202222093 and 101021202222102.

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, 3792073851 + ... + 3792100490.

Almost surely, 2^{101021202222120} is an apocalyptic number.

101021202222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021202222120 is an abundant number, since it is smaller than the sum of its proper divisors (236171189023200).

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

101021202222120 is a wasteful number, since it uses less digits than its factorization.

101021202222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7584174395 (or 7584174388 counting only the distinct ones).

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

Adding to 101021202222120 its reverse (21222202120101), we get a palindrome (122243404342221).

The spelling of 101021202222120 in words is "one hundred one trillion, twenty-one billion, two hundred two million, two hundred twenty-two thousand, one hundred twenty".