100201002001002 has 48 divisors (see below), whose sum is σ = 249602496054912. Its totient is φ = 28457427422880.

The previous prime is 100201002000997. The next prime is 100201002001069. The reversal of 100201002001002 is 200100200102001.

It is a super-3 number, since 3×100201002001002³ (a number of 43 digits) contains 333 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 23 ways as a sum of consecutive naturals, for example, 2380955149 + ... + 2380997232.

It is an arithmetic number, because the mean of its divisors is an integer number (5200052001144).

Almost surely, 2^{100201002001002} is an apocalyptic number.

100201002001002 is an abundant number, since it is smaller than the sum of its proper divisors (149401494053910).

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

100201002001002 is a wasteful number, since it uses less digits than its factorization.

100201002001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761952563 (or 4761952560 counting only the distinct ones).

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

Adding to 100201002001002 its reverse (200100200102001), we get a palindrome (300301202103003).

The spelling of 100201002001002 in words is "one hundred trillion, two hundred one billion, two million, one thousand, two".