100001011101021 has 12 divisors (see below), whose sum is σ = 144447484257180. Its totient is φ = 66666611810880.

The previous prime is 100001011100989. The next prime is 100001011101071. The reversal of 100001011101021 is 120101110100001.

It can be written as a sum of positive squares in 2 ways, for example, as 52510457888100 + 47490553212921 = 7246410^2 + 6891339^2 .

It is not a de Polignac number, because 100001011101021 - 2⁵ = 100001011100989 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 = 100001011100994 and 100001011101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001011101071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59874070 + ... + 61521591.

It is an arithmetic number, because the mean of its divisors is an integer number (12037290354765).

Almost surely, 2^{100001011101021} is an apocalyptic number.

It is an amenable number.

100001011101021 is a deficient number, since it is larger than the sum of its proper divisors (44446473156159).

100001011101021 is a wasteful number, since it uses less digits than its factorization.

100001011101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121487196 (or 121487193 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100001011101021 its reverse (120101110100001), we get a palindrome (220102121201022).

The spelling of 100001011101021 in words is "one hundred trillion, one billion, eleven million, one hundred one thousand, twenty-one".