20000100100002 has 256 divisors, whose sum is σ = 46628106209280. Its totient is φ = 5660840908800.

The previous prime is 20000100099983. The next prime is 20000100100003.

It is a happy number.

20000100100002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (20000100100003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10712425473 + ... + 10712427339.

It is an arithmetic number, because the mean of its divisors is an integer number (182141039880).

Almost surely, 2^{20000100100002} is an apocalyptic number.

20000100100002 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 20000100100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23314053104640).

20000100100002 is an abundant number, since it is smaller than the sum of its proper divisors (26628006109278).

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

20000100100002 is a wasteful number, since it uses less digits than its factorization.

20000100100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737.

The product of its (nonzero) digits is 4, while the sum is 6.

It can be divided in two parts, 20000100 and 100002, that added together give a palindrome (20100102).

The spelling of 20000100100002 in words is "twenty trillion, one hundred million, one hundred thousand, two".