2123033210100 has 216 divisors, whose sum is σ = 7326091412640. Its totient is φ = 509952672000.

The previous prime is 2123033210063. The next prime is 2123033210107. The reversal of 2123033210100 is 10123303212.

2123033210100 is a `hidden beast` number, since 2 + 1 + 230 + 332 + 1 + 0 + 100 = 666.

It is a super-2 number, since 2×2123033210100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123033210107) 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, 95395 + ... + 2062805.

Almost surely, 2^{2123033210100} is an apocalyptic number.

2123033210100 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 2123033210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663045706320).

2123033210100 is an abundant number, since it is smaller than the sum of its proper divisors (5203058202540).

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

2123033210100 is a wasteful number, since it uses less digits than its factorization.

2123033210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967551 (or 1967541 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2123033210100 its reverse (10123303212), we get a palindrome (2133156513312).

The spelling of 2123033210100 in words is "two trillion, one hundred twenty-three billion, thirty-three million, two hundred ten thousand, one hundred".