10505002204100 has 72 divisors (see below), whose sum is σ = 22835869093128. Its totient is φ = 4194631526400.

The previous prime is 10505002204097. The next prime is 10505002204111. The reversal of 10505002204100 is 140220050501.

It can be written as a sum of positive squares in 12 ways, for example, as 3834735229504 + 6670266974596 = 1958248^2 + 2582686^2 .

It is a super-2 number, since 2×10505002204100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131877884 + ... + 131957516.

Almost surely, 2^{10505002204100} is an apocalyptic number.

10505002204100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505002204100 is an abundant number, since it is smaller than the sum of its proper divisors (12330866889028).

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

10505002204100 is a wasteful number, since it uses less digits than its factorization.

10505002204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81945 (or 81938 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 10505002204100 its reverse (140220050501), we get a palindrome (10645222254601).

The spelling of 10505002204100 in words is "ten trillion, five hundred five billion, two million, two hundred four thousand, one hundred".