10233212012100 has 1728 divisors, whose sum is σ = 44521117132800. Its totient is φ = 1967259571200.

The previous prime is 10233212012041. The next prime is 10233212012129. The reversal of 10233212012100 is 121021233201.

10233212012100 is a `hidden beast` number, since 1 + 0 + 2 + 332 + 120 + 1 + 210 + 0 = 666.

10233212012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1868394562 + ... + 1868400038.

Almost surely, 2^{10233212012100} is an apocalyptic number.

10233212012100 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 10233212012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22260558566400).

10233212012100 is an abundant number, since it is smaller than the sum of its proper divisors (34287905120700).

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

10233212012100 is a wasteful number, since it uses less digits than its factorization.

10233212012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10233212012100 its reverse (121021233201), we get a palindrome (10354233245301).

The spelling of 10233212012100 in words is "ten trillion, two hundred thirty-three billion, two hundred twelve million, twelve thousand, one hundred".