20100102112002 has 128 divisors (see below), whose sum is σ = 46240440422400. Its totient is φ = 5760681638400.

The previous prime is 20100102112001. The next prime is 20100102112003. The reversal of 20100102112002 is 20021120100102.

It is an interprime number because it is at equal distance from previous prime (20100102112001) and next prime (20100102112003).

It is not an unprimeable number, because it can be changed into a prime (20100102112001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2384066727 + ... + 2384075157.

It is an arithmetic number, because the mean of its divisors is an integer number (361253440800).

Almost surely, 2^{20100102112002} is an apocalyptic number.

20100102112002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100102112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23120220211200).

20100102112002 is an abundant number, since it is smaller than the sum of its proper divisors (26140338310398).

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

20100102112002 is a wasteful number, since it uses less digits than its factorization.

20100102112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11432.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20100102112002 its reverse (20021120100102), we get a palindrome (40121222212104).

The spelling of 20100102112002 in words is "twenty trillion, one hundred billion, one hundred two million, one hundred twelve thousand, two".