2000100202101 has 8 divisors (see below), whose sum is σ = 2963111410560. Its totient is φ = 1333400134716.

The previous prime is 2000100202063. The next prime is 2000100202169. The reversal of 2000100202101 is 1012020010002.

It is not a de Polignac number, because 2000100202101 - 2⁷ = 2000100201973 is a prime.

It is a super-2 number, since 2×2000100202101² (a number of 25 digits) contains 22 as substring.

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 (2000100202301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37038892605 + ... + 37038892658.

It is an arithmetic number, because the mean of its divisors is an integer number (370388926320).

Almost surely, 2^{2000100202101} is an apocalyptic number.

It is an amenable number.

2000100202101 is a deficient number, since it is larger than the sum of its proper divisors (963011208459).

2000100202101 is an equidigital number, since it uses as much as digits as its factorization.

2000100202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74077785272 (or 74077785266 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2000100202101 its reverse (1012020010002), we get a palindrome (3012120212103).

The spelling of 2000100202101 in words is "two trillion, one hundred million, two hundred two thousand, one hundred one".