10122111300 has 216 divisors, whose sum is σ = 35862183840. Its totient is φ = 2191795200.

The previous prime is 10122111271. The next prime is 10122111301. The reversal of 10122111300 is 311122101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10122111301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 261180 + ... + 297420.

Almost surely, 2^10122111300 is an apocalyptic number.

10122111300 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 10122111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17931091920).

10122111300 is an abundant number, since it is smaller than the sum of its proper divisors (25740072540).

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

10122111300 is a wasteful number, since it uses less digits than its factorization.

10122111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36291 (or 36277 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10122111300 its reverse (311122101), we get a palindrome (10433233401).

The spelling of 10122111300 in words is "ten billion, one hundred twenty-two million, one hundred eleven thousand, three hundred".