2002100200101 has 60 divisors (see below), whose sum is σ = 3143958158880. Its totient is φ = 1269564302160.

The previous prime is 2002100200097. The next prime is 2002100200157. The reversal of 2002100200101 is 1010020012002.

It is not a de Polignac number, because 2002100200101 - 2² = 2002100200097 is a prime.

It is a super-2 number, since 2×2002100200101² (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 (2002100207101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7539456 + ... + 7800486.

It is an arithmetic number, because the mean of its divisors is an integer number (52399302648).

Almost surely, 2^{2002100200101} is an apocalyptic number.

It is an amenable number.

2002100200101 is a deficient number, since it is larger than the sum of its proper divisors (1141857958779).

2002100200101 is a wasteful number, since it uses less digits than its factorization.

2002100200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261268 (or 261236 counting only the distinct ones).

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

Adding to 2002100200101 its reverse (1010020012002), we get a palindrome (3012120212103).

The spelling of 2002100200101 in words is "two trillion, two billion, one hundred million, two hundred thousand, one hundred one".