10022121413400 has 96 divisors (see below), whose sum is σ = 31069292420160. Its totient is φ = 2672504115840.

The previous prime is 10022121413323. The next prime is 10022121413407. The reversal of 10022121413400 is 431412122001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022121413407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29738239 + ... + 30073361.

It is an arithmetic number, because the mean of its divisors is an integer number (323638462710).

Almost surely, 2^{10022121413400} is an apocalyptic number.

10022121413400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022121413400 is an abundant number, since it is smaller than the sum of its proper divisors (21047171006760).

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

10022121413400 is a wasteful number, since it uses less digits than its factorization.

10022121413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384985 (or 384976 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10022121413400 its reverse (431412122001), we get a palindrome (10453533535401).

The spelling of 10022121413400 in words is "ten trillion, twenty-two billion, one hundred twenty-one million, four hundred thirteen thousand, four hundred".