100001021013 has 16 divisors (see below), whose sum is σ = 151763068800. Its totient is φ = 65041313760.

The previous prime is 100001020969. The next prime is 100001021023. The reversal of 100001021013 is 310120100001.

It is not a de Polignac number, because 100001021013 - 2¹³ = 100001012821 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100001020986 and 100001021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001021023) 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, 45166473 + ... + 45168686.

It is an arithmetic number, because the mean of its divisors is an integer number (9485191800).

Almost surely, 2^100001021013 is an apocalyptic number.

It is an amenable number.

100001021013 is a deficient number, since it is larger than the sum of its proper divisors (51762047787).

100001021013 is an equidigital number, since it uses as much as digits as its factorization.

100001021013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90335209 (or 90335203 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100001021013 its reverse (310120100001), we get a palindrome (410121121014).

The spelling of 100001021013 in words is "one hundred billion, one million, twenty-one thousand, thirteen".