10000100213400 has 192 divisors, whose sum is σ = 35288891723520. Its totient is φ = 2318863782400.

The previous prime is 10000100213371. The next prime is 10000100213413. The reversal of 10000100213400 is 431200100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32786607 + ... + 33090206.

It is an arithmetic number, because the mean of its divisors is an integer number (183796311060).

Almost surely, 2^{10000100213400} is an apocalyptic number.

10000100213400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000100213400 is an abundant number, since it is smaller than the sum of its proper divisors (25288791510120).

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

10000100213400 is a wasteful number, since it uses less digits than its factorization.

10000100213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65876866 (or 65876857 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10000100213400 its reverse (431200100001), we get a palindrome (10431300313401).

The spelling of 10000100213400 in words is "ten trillion, one hundred million, two hundred thirteen thousand, four hundred".