10122321213300 has 72 divisors (see below), whose sum is σ = 29483808228000. Its totient is φ = 2681169633920.

The previous prime is 10122321213283. The next prime is 10122321213377. The reversal of 10122321213300 is 331212322101.

10122321213300 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 2×10122321213300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113180370 + ... + 113269769.

It is an arithmetic number, because the mean of its divisors is an integer number (409497336500).

Almost surely, 2^{10122321213300} is an apocalyptic number.

10122321213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122321213300 is an abundant number, since it is smaller than the sum of its proper divisors (19361487014700).

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

10122321213300 is a wasteful number, since it uses less digits than its factorization.

10122321213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226450305 (or 226450298 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10122321213300 its reverse (331212322101), we get a palindrome (10453533535401).

The spelling of 10122321213300 in words is "ten trillion, one hundred twenty-two billion, three hundred twenty-one million, two hundred thirteen thousand, three hundred".