100002201002100 has 360 divisors, whose sum is σ = 345458964711168. Its totient is φ = 24965086291200.

The previous prime is 100002201002083. The next prime is 100002201002129. The reversal of 100002201002100 is 1200102200001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3045670 + ... + 14466530.

Almost surely, 2^{100002201002100} is an apocalyptic number.

100002201002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100002201002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172729482355584).

100002201002100 is an abundant number, since it is smaller than the sum of its proper divisors (245456763709068).

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

100002201002100 is a wasteful number, since it uses less digits than its factorization.

100002201002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11420957 (or 11420941 counting only the distinct ones).

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

Adding to 100002201002100 its reverse (1200102200001), we get a palindrome (101202303202101).

The spelling of 100002201002100 in words is "one hundred trillion, two billion, two hundred one million, two thousand, one hundred".