101055121664 has 36 divisors (see below), whose sum is σ = 230532000384. Its totient is φ = 43309337088.

The previous prime is 101055121627. The next prime is 101055121667. The reversal of 101055121664 is 466121550101.

It is a super-2 number, since 2×101055121664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 101055121664.

It is not an unprimeable number, because it can be changed into a prime (101055121667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28194392 + ... + 28197975.

Almost surely, 2^101055121664 is an apocalyptic number.

101055121664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101055121664 is an abundant number, since it is smaller than the sum of its proper divisors (129476878720).

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

101055121664 is an frugal number, since it uses more digits than its factorization.

101055121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56392390 (or 56392376 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

Adding to 101055121664 its reverse (466121550101), we get a palindrome (567176671765).

The spelling of 101055121664 in words is "one hundred one billion, fifty-five million, one hundred twenty-one thousand, six hundred sixty-four".