100210020010010 has 16 divisors (see below), whose sum is σ = 180381268619496. Its totient is φ = 40083289648128.

The previous prime is 100210020009989. The next prime is 100210020010027. The reversal of 100210020010010 is 10010020012001.

It can be written as a sum of positive squares in 4 ways, for example, as 94415172262009 + 5794847748001 = 9716747^2 + 2407249^2 .

It is a super-2 number, since 2×100210020010010² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100210020010010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89208407 + ... + 90324746.

Almost surely, 2^{100210020010010} is an apocalyptic number.

100210020010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100210020010010 is a deficient number, since it is larger than the sum of its proper divisors (80171248609486).

100210020010010 is a wasteful number, since it uses less digits than its factorization.

100210020010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179588977.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100210020010010 its reverse (10010020012001), we get a palindrome (110220040022011).

The spelling of 100210020010010 in words is "one hundred trillion, two hundred ten billion, twenty million, ten thousand, ten".