101356801 has 16 divisors (see below), whose sum is σ = 128122624. Its totient is φ = 78024384.

The previous prime is 101356751. The next prime is 101356817. The reversal of 101356801 is 108653101.

It is a cyclic number.

It is not a de Polignac number, because 101356801 - 2¹¹ = 101354753 is a prime.

It is a super-2 number, since 2×101356801² = 20546402217907202, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101356001) 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, 11685 + ... + 18418.

It is an arithmetic number, because the mean of its divisors is an integer number (8007664).

Almost surely, 2^101356801 is an apocalyptic number.

It is an amenable number.

101356801 is a deficient number, since it is larger than the sum of its proper divisors (26765823).

101356801 is a wasteful number, since it uses less digits than its factorization.

101356801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30160.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 101356801 is about 10067.6114843591. The cubic root of 101356801 is about 466.2486975840.

The spelling of 101356801 in words is "one hundred one million, three hundred fifty-six thousand, eight hundred one".