123020221202100 has 432 divisors, whose sum is σ = 405006118782720. Its totient is φ = 31202630784000.

The previous prime is 123020221202083. The next prime is 123020221202101. The reversal of 123020221202100 is 1202122020321.

123020221202100 is a `hidden beast` number, since 1 + 230 + 2 + 0 + 221 + 2 + 0 + 210 + 0 = 666.

123020221202100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123020221202100² (a number of 29 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 (123020221202101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 265469199 + ... + 265932201.

Almost surely, 2^{123020221202100} is an apocalyptic number.

123020221202100 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 123020221202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202503059391360).

123020221202100 is an abundant number, since it is smaller than the sum of its proper divisors (281985897580620).

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

123020221202100 is a wasteful number, since it uses less digits than its factorization.

123020221202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463240 (or 463230 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 123020221202100 its reverse (1202122020321), we get a palindrome (124222343222421).

It can be divided in two parts, 123020221 and 202100, that added together give a palindrome (123222321).

The spelling of 123020221202100 in words is "one hundred twenty-three trillion, twenty billion, two hundred twenty-one million, two hundred two thousand, one hundred".