2002012100100 has 144 divisors (see below), whose sum is σ = 6774840340800. Its totient is φ = 505771464960.

The previous prime is 2002012100093. The next prime is 2002012100117. The reversal of 2002012100100 is 10012102002.

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 47 ways as a sum of consecutive naturals, for example, 19461489 + ... + 19564088.

Almost surely, 2^{2002012100100} is an apocalyptic number.

2002012100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002012100100 is an abundant number, since it is smaller than the sum of its proper divisors (4772828240700).

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

2002012100100 is a wasteful number, since it uses less digits than its factorization.

2002012100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39025619 (or 39025606 counting only the distinct ones).

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

Adding to 2002012100100 its reverse (10012102002), we get a palindrome (2012024202102).

The spelling of 2002012100100 in words is "two trillion, two billion, twelve million, one hundred thousand, one hundred".