101632802401 has 27 divisors (see below), whose sum is σ = 111484047801. Its totient is φ = 92609834304.

The previous prime is 101632802377. The next prime is 101632802417. The reversal of 101632802401 is 104208236101.

The square root of 101632802401 is 318799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9034312401 + 92598490000 = 95049^2 + 304300^2 .

It is not a de Polignac number, because 101632802401 - 2⁷ = 101632802273 is a prime.

It is a super-2 number, since 2×101632802401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101632802401.

It is not an unprimeable number, because it can be changed into a prime (101632802461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 567780930 + ... + 567781108.

Almost surely, 2^101632802401 is an apocalyptic number.

101632802401 is the 318799-th square number.

101632802401 is the 159400-th centered octagonal number.

It is an amenable number.

101632802401 is a deficient number, since it is larger than the sum of its proper divisors (9851245400).

101632802401 is an frugal number, since it uses more digits than its factorization.

101632802401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Multiplying 101632802401 by its product of nonzero digits (2304), we get a square (234161976731904 = 15302352²).

The spelling of 101632802401 in words is "one hundred one billion, six hundred thirty-two million, eight hundred two thousand, four hundred one".