100100020012002 has 192 divisors, whose sum is σ = 225246909888000. Its totient is φ = 32112547004160.

The previous prime is 100100020012001. The next prime is 100100020012007. The reversal of 100100020012002 is 200210020001001.

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

It is not an unprimeable number, because it can be changed into a prime (100100020012001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4333510249 + ... + 4333533347.

It is an arithmetic number, because the mean of its divisors is an integer number (1173160989000).

Almost surely, 2^{100100020012002} is an apocalyptic number.

100100020012002 is an abundant number, since it is smaller than the sum of its proper divisors (125146889875998).

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

100100020012002 is a wasteful number, since it uses less digits than its factorization.

100100020012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23693 (or 23690 counting only the distinct ones).

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

Adding to 100100020012002 its reverse (200210020001001), we get a palindrome (300310040013003).

The spelling of 100100020012002 in words is "one hundred trillion, one hundred billion, twenty million, twelve thousand, two".