100001005101 has 48 divisors (see below), whose sum is σ = 153675190656. Its totient is φ = 62522748288.

The previous prime is 100001005099. The next prime is 100001005133. The reversal of 100001005101 is 101500100001.

It is not a de Polignac number, because 100001005101 - 2¹ = 100001005099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001001101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25593390 + ... + 25597296.

It is an arithmetic number, because the mean of its divisors is an integer number (3201566472).

Almost surely, 2^100001005101 is an apocalyptic number.

It is an amenable number.

100001005101 is a deficient number, since it is larger than the sum of its proper divisors (53674185555).

100001005101 is a wasteful number, since it uses less digits than its factorization.

100001005101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 100001005101 its reverse (101500100001), we get a palindrome (201501105102).

It can be divided in two parts, 10000 and 1005101, that added together give a palindrome (1015101).

The spelling of 100001005101 in words is "one hundred billion, one million, five thousand, one hundred one".