101022109944552 has 64 divisors (see below), whose sum is σ = 280720179648000. Its totient is φ = 33661651738752.

The previous prime is 101022109944551. The next prime is 101022109944607. The reversal of 101022109944552 is 255449901220101.

101022109944552 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 2 + 1 + 0 + 9 + 94 + 4 + 552 = 666.

It is a super-3 number, since 3×101022109944552³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101022109944498 and 101022109944507.

It is not an unprimeable number, because it can be changed into a prime (101022109944551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85417653 + ... + 86592260.

It is an arithmetic number, because the mean of its divisors is an integer number (4386252807000).

Almost surely, 2^{101022109944552} is an apocalyptic number.

101022109944552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022109944552 is an abundant number, since it is smaller than the sum of its proper divisors (179698069703448).

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

101022109944552 is a wasteful number, since it uses less digits than its factorization.

101022109944552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172012647 (or 172012637 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 101022109944552 in words is "one hundred one trillion, twenty-two billion, one hundred nine million, nine hundred forty-four thousand, five hundred fifty-two".