123202220101020 has 288 divisors, whose sum is σ = 384753058505088. Its totient is φ = 31887805372416.

The previous prime is 123202220100937. The next prime is 123202220101021. The reversal of 123202220101020 is 20101022202321.

123202220101020 is a `hidden beast` number, since 1 + 2 + 320 + 2 + 220 + 101 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 123202220100984 and 123202220101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123202220101021) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 10550839422 + ... + 10550851098.

Almost surely, 2^{123202220101020} is an apocalyptic number.

123202220101020 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 123202220101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192376529252544).

123202220101020 is an abundant number, since it is smaller than the sum of its proper divisors (261550838404068).

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

123202220101020 is a wasteful number, since it uses less digits than its factorization.

123202220101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15469 (or 15464 counting only the distinct ones).

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

Adding to 123202220101020 its reverse (20101022202321), we get a palindrome (143303242303341).

The spelling of 123202220101020 in words is "one hundred twenty-three trillion, two hundred two billion, two hundred twenty million, one hundred one thousand, twenty".