101212222220120 has 128 divisors (see below), whose sum is σ = 257590091304000. Its totient is φ = 35453256007680.

The previous prime is 101212222220093. The next prime is 101212222220141. The reversal of 101212222220120 is 21022222212101.

101212222220120 is digitally balanced in base 3, 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 101212222220092 and 101212222220101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3634265 + ... + 14684424.

Almost surely, 2^{101212222220120} is an apocalyptic number.

101212222220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212222220120 is an abundant number, since it is smaller than the sum of its proper divisors (156377869083880).

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

101212222220120 is a wasteful number, since it uses less digits than its factorization.

101212222220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18319173 (or 18319169 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101212222220120 its reverse (21022222212101), we get a palindrome (122234444432221).

The spelling of 101212222220120 in words is "one hundred one trillion, two hundred twelve billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twenty".