100020301013021 has 32 divisors (see below), whose sum is σ = 107653502791296. Its totient is φ = 92597446656000.

The previous prime is 100020301012993. The next prime is 100020301013053. The reversal of 100020301013021 is 120310103020001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100020301013021 is a prime.

It is a super-2 number, since 2×100020301013021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100020301012987 and 100020301013005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020301013081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127132541 + ... + 127916861.

It is an arithmetic number, because the mean of its divisors is an integer number (3364171962228).

Almost surely, 2^{100020301013021} is an apocalyptic number.

It is an amenable number.

100020301013021 is a deficient number, since it is larger than the sum of its proper divisors (7633201778275).

100020301013021 is a wasteful number, since it uses less digits than its factorization.

100020301013021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784973.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100020301013021 its reverse (120310103020001), we get a palindrome (220330404033022).

The spelling of 100020301013021 in words is "one hundred trillion, twenty billion, three hundred one million, thirteen thousand, twenty-one".