23210210100 has 288 divisors, whose sum is σ = 83994624000. Its totient is φ = 4807411200.

The previous prime is 23210210047. The next prime is 23210210119. The reversal of 23210210100 is 101201232.

It is a super-2 number, since 2×23210210100² (a number of 22 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8060461 + ... + 8063339.

It is an arithmetic number, because the mean of its divisors is an integer number (291648000).

Almost surely, 2^23210210100 is an apocalyptic number.

23210210100 is a gapful number since it is divisible by the number (20) 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 23210210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41997312000).

23210210100 is an abundant number, since it is smaller than the sum of its proper divisors (60784413900).

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

23210210100 is a wasteful number, since it uses less digits than its factorization.

23210210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3256 counting only the distinct ones).

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

Adding to 23210210100 its reverse (101201232), we get a palindrome (23311411332).

The spelling of 23210210100 in words is "twenty-three billion, two hundred ten million, two hundred ten thousand, one hundred".