100210000020 has 288 divisors, whose sum is σ = 311812042752. Its totient is φ = 24024559104.

The previous prime is 100210000019. The next prime is 100210000039. The reversal of 100210000020 is 20000012001.

It is a happy number.

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 = 100209999963 and 100210000008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134871769 + ... + 134872511.

It is an arithmetic number, because the mean of its divisors is an integer number (1082680704).

Almost surely, 2^100210000020 is an apocalyptic number.

100210000020 is a gapful number since it is divisible by the number (10) 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 100210000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155906021376).

100210000020 is an abundant number, since it is smaller than the sum of its proper divisors (211602042732).

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

100210000020 is a wasteful number, since it uses less digits than its factorization.

100210000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1096 counting only the distinct ones).

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

Adding to 100210000020 its reverse (20000012001), we get a palindrome (120210012021).

The spelling of 100210000020 in words is "one hundred billion, two hundred ten million, twenty", and thus it is an aban number.