10123021200 has 120 divisors (see below), whose sum is σ = 33039456768. Its totient is φ = 2648522240.

The previous prime is 10123021169. The next prime is 10123021243. The reversal of 10123021200 is 212032101.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 15984 + ... + 143183.

Almost surely, 2^10123021200 is an apocalyptic number.

10123021200 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 10123021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16519728384).

10123021200 is an abundant number, since it is smaller than the sum of its proper divisors (22916435568).

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

10123021200 is a wasteful number, since it uses less digits than its factorization.

10123021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159241 (or 159230 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10123021200 its reverse (212032101), we get a palindrome (10335053301).

The spelling of 10123021200 in words is "ten billion, one hundred twenty-three million, twenty-one thousand, two hundred".