10122321300 has 288 divisors, whose sum is σ = 36164352000. Its totient is φ = 2128688640.

The previous prime is 10122321281. The next prime is 10122321301. The reversal of 10122321300 is 312322101.

It is a super-2 number, since 2×10122321300² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122321300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122321301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16352391 + ... + 16353009.

Almost surely, 2^10122321300 is an apocalyptic number.

10122321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18082176000).

10122321300 is an abundant number, since it is smaller than the sum of its proper divisors (26042030700).

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

10122321300 is a wasteful number, since it uses less digits than its factorization.

10122321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10122321300 its reverse (312322101), we get a palindrome (10434643401).

The spelling of 10122321300 in words is "ten billion, one hundred twenty-two million, three hundred twenty-one thousand, three hundred".