10133020212400 has 30 divisors (see below), whose sum is σ = 24344581061252. Its totient is φ = 4053208084800.

The previous prime is 10133020212373. The next prime is 10133020212401. The reversal of 10133020212400 is 421202033101.

It is a happy number.

10133020212400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10133020212400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10133020212401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12666274866 + ... + 12666275665.

Almost surely, 2^{10133020212400} is an apocalyptic number.

10133020212400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133020212400 is an abundant number, since it is smaller than the sum of its proper divisors (14211560848852).

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

10133020212400 is a wasteful number, since it uses less digits than its factorization.

10133020212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25332550549 (or 25332550538 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10133020212400 its reverse (421202033101), we get a palindrome (10554222245501).

The spelling of 10133020212400 in words is "ten trillion, one hundred thirty-three billion, twenty million, two hundred twelve thousand, four hundred".