100002020010101 has 32 divisors (see below), whose sum is σ = 110627245314432. Its totient is φ = 89640000000000.

The previous prime is 100002020010091. The next prime is 100002020010199. The reversal of 100002020010101 is 101010020200001.

It is a cyclic number.

It is not a de Polignac number, because 100002020010101 - 2³⁴ = 99984840140917 is a prime.

It is a super-2 number, since 2×100002020010101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002020010301) 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, 2510007941 + ... + 2510047781.

It is an arithmetic number, because the mean of its divisors is an integer number (3457101416076).

Almost surely, 2^{100002020010101} is an apocalyptic number.

100002020010101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002020010101 is a deficient number, since it is larger than the sum of its proper divisors (10625225304331).

100002020010101 is a wasteful number, since it uses less digits than its factorization.

100002020010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49205.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100002020010101 its reverse (101010020200001), we get a palindrome (201012040210102).

The spelling of 100002020010101 in words is "one hundred trillion, two billion, twenty million, ten thousand, one hundred one".