101358858601 has 32 divisors (see below), whose sum is σ = 136204040448. Its totient is φ = 72844496640.

The previous prime is 101358858593. The next prime is 101358858661. The reversal of 101358858601 is 106858853101.

It is a cyclic number.

It is not a de Polignac number, because 101358858601 - 2³ = 101358858593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101358858661) 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, 1172475 + ... + 1255951.

It is an arithmetic number, because the mean of its divisors is an integer number (4256376264).

Almost surely, 2^101358858601 is an apocalyptic number.

101358858601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101358858601 is a deficient number, since it is larger than the sum of its proper divisors (34845181847).

101358858601 is a wasteful number, since it uses less digits than its factorization.

101358858601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84721.

The product of its (nonzero) digits is 230400, while the sum is 46.

It can be divided in two parts, 101358 and 858601, that added together give a palindrome (959959).

The spelling of 101358858601 in words is "one hundred one billion, three hundred fifty-eight million, eight hundred fifty-eight thousand, six hundred one".