101363801 has 24 divisors (see below), whose sum is σ = 129467520. Its totient is φ = 78472800.

The previous prime is 101363681. The next prime is 101363813. The reversal of 101363801 is 108363101.

It is not a de Polignac number, because 101363801 - 2²⁶ = 34254937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101363851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97040 + ... + 98078.

It is an arithmetic number, because the mean of its divisors is an integer number (5394480).

Almost surely, 2^101363801 is an apocalyptic number.

101363801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101363801 is a deficient number, since it is larger than the sum of its proper divisors (28103719).

101363801 is a wasteful number, since it uses less digits than its factorization.

101363801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 101363801 is about 10067.9591278471. The cubic root of 101363801 is about 466.2594308409.

The spelling of 101363801 in words is "one hundred one million, three hundred sixty-three thousand, eight hundred one".