101122022221120 has 56 divisors (see below), whose sum is σ = 241034522815944. Its totient is φ = 40408879036416.

The previous prime is 101122022221081. The next prime is 101122022221127. The reversal of 101122022221120 is 21122220221101.

It can be written as a sum of positive squares in 4 ways, for example, as 13326471495936 + 87795550725184 = 3650544^2 + 9369928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122022221127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155651319 + ... + 156299638.

Almost surely, 2^{101122022221120} is an apocalyptic number.

101122022221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122022221120 is an abundant number, since it is smaller than the sum of its proper divisors (139912500594824).

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

101122022221120 is a wasteful number, since it uses less digits than its factorization.

101122022221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311951987 (or 311951977 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101122022221120 its reverse (21122220221101), we get a palindrome (122244242442221).

The spelling of 101122022221120 in words is "one hundred one trillion, one hundred twenty-two billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".