100233212040400 has 60 divisors (see below), whose sum is σ = 240822607652352. Its totient is φ = 40091234331520.

The previous prime is 100233212040389. The next prime is 100233212040457. The reversal of 100233212040400 is 4040212332001.

100233212040400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1435227 + ... + 14231173.

Almost surely, 2^{100233212040400} is an apocalyptic number.

100233212040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100233212040400 is an abundant number, since it is smaller than the sum of its proper divisors (140589395611952).

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

100233212040400 is a wasteful number, since it uses less digits than its factorization.

100233212040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12815548 (or 12815537 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 100233212040400 its reverse (4040212332001), we get a palindrome (104273424372401).

The spelling of 100233212040400 in words is "one hundred trillion, two hundred thirty-three billion, two hundred twelve million, forty thousand, four hundred".