100410113000 has 64 divisors (see below), whose sum is σ = 238178463120. Its totient is φ = 39613824000.

The previous prime is 100410112963. The next prime is 100410113059. The reversal of 100410113000 is 311014001.

It can be written as a sum of positive squares in 8 ways, for example, as 109956196 + 100300156804 = 10486^2 + 316702^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614741 + ... + 760740.

Almost surely, 2^100410113000 is an apocalyptic number.

100410113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100410113000 is an abundant number, since it is smaller than the sum of its proper divisors (137768350120).

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

100410113000 is a wasteful number, since it uses less digits than its factorization.

100410113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375575 (or 1375561 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100410113000 its reverse (311014001), we get a palindrome (100721127001).

It can be divided in two parts, 1004101 and 13000, that added together give a palindrome (1017101).

The spelling of 100410113000 in words is "one hundred billion, four hundred ten million, one hundred thirteen thousand".