101100222022120 has 128 divisors (see below), whose sum is σ = 230060401956000. Its totient is φ = 39982252769280.

The previous prime is 101100222022117. The next prime is 101100222022141. The reversal of 101100222022120 is 21220222001101.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 42752531485764 + 58347690536356 = 6538542^2 + 7638566^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101100222022094 and 101100222022103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4077760444 + ... + 4077785236.

Almost surely, 2^{101100222022120} is an apocalyptic number.

101100222022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100222022120 is an abundant number, since it is smaller than the sum of its proper divisors (128960179933880).

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

101100222022120 is a wasteful number, since it uses less digits than its factorization.

101100222022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26903 (or 26899 counting only the distinct ones).

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

Adding to 101100222022120 its reverse (21220222001101), we get a palindrome (122320444023221).

The spelling of 101100222022120 in words is "one hundred one trillion, one hundred billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty".