601000010105001 has 64 divisors (see below), whose sum is σ = 865536871879680. Its totient is φ = 368750020700160.

The previous prime is 601000010104981. The next prime is 601000010105023. The reversal of 601000010105001 is 100501010000106.

It is not a de Polignac number, because 601000010105001 - 2²⁷ = 600999875887273 is a prime.

It is a super-2 number, since 2×601000010105001² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (601000010145001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61521134445 + ... + 61521144213.

It is an arithmetic number, because the mean of its divisors is an integer number (13524013623120).

Almost surely, 2^{601000010105001} is an apocalyptic number.

It is an amenable number.

601000010105001 is a deficient number, since it is larger than the sum of its proper divisors (264536861774679).

601000010105001 is a wasteful number, since it uses less digits than its factorization.

601000010105001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13746.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 601000010105001 its reverse (100501010000106), we get a palindrome (701501020105107).

The spelling of 601000010105001 in words is "six hundred one trillion, ten million, one hundred five thousand, one".