10212023100 has 144 divisors (see below), whose sum is σ = 32105722880. Its totient is φ = 2496614400.

The previous prime is 10212023099. The next prime is 10212023177. The reversal of 10212023100 is 132021201.

10212023100 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 2×10212023100² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147804 + ... + 205596.

Almost surely, 2^10212023100 is an apocalyptic number.

10212023100 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 10212023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16052861440).

10212023100 is an abundant number, since it is smaller than the sum of its proper divisors (21893699780).

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

10212023100 is a wasteful number, since it uses less digits than its factorization.

10212023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57860 (or 57853 counting only the distinct ones).

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

Adding to 10212023100 its reverse (132021201), we get a palindrome (10344044301).

The spelling of 10212023100 in words is "ten billion, two hundred twelve million, twenty-three thousand, one hundred".