2100100000020 has 768 divisors, whose sum is σ = 7042542796800. Its totient is φ = 462551040000.

The previous prime is 2100100000001. The next prime is 2100100000039. The reversal of 2100100000020 is 200000010012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100100000001) and next prime (2100100000039).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 2100099999954 and 2100100000008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4384342141 + ... + 4384342619.

It is an arithmetic number, because the mean of its divisors is an integer number (9169977600).

Almost surely, 2^{2100100000020} is an apocalyptic number.

2100100000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100100000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521271398400).

2100100000020 is an abundant number, since it is smaller than the sum of its proper divisors (4942442796780).

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

2100100000020 is a wasteful number, since it uses less digits than its factorization.

2100100000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 758 counting only the distinct ones).

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

Adding to 2100100000020 its reverse (200000010012), we get a palindrome (2300100010032).

The spelling of 2100100000020 in words is "two trillion, one hundred billion, one hundred million, twenty", and thus it is an aban number.