100020001012002 has 128 divisors (see below), whose sum is σ = 240001671168000. Its totient is φ = 30781315414080.

The previous prime is 100020001011989. The next prime is 100020001012013. The reversal of 100020001012002 is 200210100020001.

It is a super-2 number, since 2×100020001012002² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117390399 + ... + 118239357.

It is an arithmetic number, because the mean of its divisors is an integer number (1875013056000).

Almost surely, 2^{100020001012002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100020001012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120000835584000).

100020001012002 is an abundant number, since it is smaller than the sum of its proper divisors (139981670155998).

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

100020001012002 is a wasteful number, since it uses less digits than its factorization.

100020001012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852293 (or 852287 counting only the distinct ones).

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

Adding to 100020001012002 its reverse (200210100020001), we get a palindrome (300230101032003).

The spelling of 100020001012002 in words is "one hundred trillion, twenty billion, one million, twelve thousand, two".