2001020100002 has 48 divisors (see below), whose sum is σ = 4033050261408. Its totient is φ = 733758318720.

The previous prime is 2001020099993. The next prime is 2001020100043. The reversal of 2001020100002 is 2000010201002.

It is a super-2 number, since 2×2001020100002² (a number of 25 digits) contains 22 as substring.

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, 54576788 + ... + 54613439.

It is an arithmetic number, because the mean of its divisors is an integer number (84021880446).

Almost surely, 2^{2001020100002} is an apocalyptic number.

2001020100002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2001020100002 is an abundant number, since it is smaller than the sum of its proper divisors (2032030161406).

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

2001020100002 is a wasteful number, since it uses less digits than its factorization.

2001020100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109190271 (or 109190264 counting only the distinct ones).

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

Adding to 2001020100002 its reverse (2000010201002), we get a palindrome (4001030301004).

The spelling of 2001020100002 in words is "two trillion, one billion, twenty million, one hundred thousand, two".