10123021202100 has 72 divisors (see below), whose sum is σ = 29290981069728. Its totient is φ = 2699315049600.

The previous prime is 10123021201967. The next prime is 10123021202113. The reversal of 10123021202100 is 120212032101.

It is a super-3 number, since 3×10123021202100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 10123021202100.

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, 4220815 + ... + 6169385.

It is an arithmetic number, because the mean of its divisors is an integer number (406819181524).

Almost surely, 2^{10123021202100} is an apocalyptic number.

10123021202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123021202100 is an abundant number, since it is smaller than the sum of its proper divisors (19167959867628).

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

10123021202100 is a wasteful number, since it uses less digits than its factorization.

10123021202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965905 (or 1965898 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10123021202100 its reverse (120212032101), we get a palindrome (10243233234201).

The spelling of 10123021202100 in words is "ten trillion, one hundred twenty-three billion, twenty-one million, two hundred two thousand, one hundred".