120212022230100 has 108 divisors (see below), whose sum is σ = 398962487946204. Its totient is φ = 30170860477440.

The previous prime is 120212022230099. The next prime is 120212022230101. The reversal of 120212022230100 is 1032220212021.

120212022230100 is a `hidden beast` number, since 1 + 20 + 2 + 120 + 222 + 301 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120212022230099) and next prime (120212022230101).

It can be written as a sum of positive squares in 6 ways, for example, as 7501397921424 + 112710624308676 = 2738868^2 + 10616526^2 .

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 (120212022230101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3928482159 + ... + 3928512758.

It is an arithmetic number, because the mean of its divisors is an integer number (3694097110613).

Almost surely, 2^{120212022230100} is an apocalyptic number.

120212022230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212022230100 is an abundant number, since it is smaller than the sum of its proper divisors (278750465716104).

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

120212022230100 is a wasteful number, since it uses less digits than its factorization.

120212022230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7856994954 (or 7856994944 counting only the distinct ones).

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

Adding to 120212022230100 its reverse (1032220212021), we get a palindrome (121244242442121).

The spelling of 120212022230100 in words is "one hundred twenty trillion, two hundred twelve billion, twenty-two million, two hundred thirty thousand, one hundred".