101352801 has 32 divisors (see below), whose sum is σ = 151538688. Its totient is φ = 59733440.

The previous prime is 101352749. The next prime is 101352817. The reversal of 101352801 is 108253101.

It is a cyclic number.

It is not a de Polignac number, because 101352801 - 2¹⁵ = 101320033 is a prime.

It is a super-3 number, since 3×101352801³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101352841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291910 + ... + 292256.

It is an arithmetic number, because the mean of its divisors is an integer number (4735584).

Almost surely, 2^101352801 is an apocalyptic number.

101352801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101352801 is a deficient number, since it is larger than the sum of its proper divisors (50185887).

101352801 is a wasteful number, since it uses less digits than its factorization.

101352801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 101352801 is about 10067.4128255476. The cubic root of 101352801 is about 466.2425640724.

The spelling of 101352801 in words is "one hundred one million, three hundred fifty-two thousand, eight hundred one".