332120102100120 has 96 divisors (see below), whose sum is σ = 1080234266342400. Its totient is φ = 88496114651136.

The previous prime is 332120102100109. The next prime is 332120102100131. The reversal of 332120102100120 is 21001201021233.

332120102100120 is a `hidden beast` number, since 3 + 321 + 2 + 0 + 10 + 210 + 0 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (332120102100109) and next prime (332120102100131).

It is a super-2 number, since 2×332120102100120² (a number of 30 digits) contains 22 as substring.

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 = 332120102100093 and 332120102100102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360194697 + ... + 361115576.

It is an arithmetic number, because the mean of its divisors is an integer number (11252440274400).

Almost surely, 2^{332120102100120} is an apocalyptic number.

332120102100120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332120102100120 is an abundant number, since it is smaller than the sum of its proper divisors (748114164242280).

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

332120102100120 is a wasteful number, since it uses less digits than its factorization.

332120102100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721311569 (or 721311562 counting only the distinct ones).

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

Adding to 332120102100120 its reverse (21001201021233), we get a palindrome (353121303121353).

The spelling of 332120102100120 in words is "three hundred thirty-two trillion, one hundred twenty billion, one hundred two million, one hundred thousand, one hundred twenty".