100202020100010 has 64 divisors (see below), whose sum is σ = 267423871368960. Its totient is φ = 26698690249920.

The previous prime is 100202020099999. The next prime is 100202020100047. The reversal of 100202020100010 is 10001020202001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100202020099965 and 100202020100001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151394481 + ... + 152054900.

It is an arithmetic number, because the mean of its divisors is an integer number (4178497990140).

Almost surely, 2^{100202020100010} is an apocalyptic number.

100202020100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100202020100010 is an abundant number, since it is smaller than the sum of its proper divisors (167221851268950).

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

100202020100010 is a wasteful number, since it uses less digits than its factorization.

100202020100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303450620 (or 303450614 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100202020100010 its reverse (10001020202001), we get a palindrome (110203040302011).

The spelling of 100202020100010 in words is "one hundred trillion, two hundred two billion, twenty million, one hundred thousand, ten".