200102022002100 has 144 divisors (see below), whose sum is σ = 579649700044800. Its totient is φ = 53297160040320.

The previous prime is 200102022002093. The next prime is 200102022002107. The reversal of 200102022002100 is 1200220201002.

It is an interprime number because it is at equal distance from previous prime (200102022002093) and next prime (200102022002107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200102022002107) 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 47 ways as a sum of consecutive naturals, for example, 2018756341 + ... + 2018855459.

It is an arithmetic number, because the mean of its divisors is an integer number (4025345139200).

Almost surely, 2^{200102022002100} is an apocalyptic number.

200102022002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200102022002100 is an abundant number, since it is smaller than the sum of its proper divisors (379547678042700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200102022002100 is a wasteful number, since it uses less digits than its factorization.

200102022002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107062 (or 107055 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200102022002100 its reverse (1200220201002), we get a palindrome (201302242203102).

The spelling of 200102022002100 in words is "two hundred trillion, one hundred two billion, twenty-two million, two thousand, one hundred".