101212101012120 has 192 divisors, whose sum is σ = 355161014863200. Its totient is φ = 23006381045760.

The previous prime is 101212101012109. The next prime is 101212101012173. The reversal of 101212101012120 is 21210101212101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101212101012120.

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 47 ways as a sum of consecutive naturals, for example, 46485285 + ... + 48613844.

Almost surely, 2^{101212101012120} is an apocalyptic number.

101212101012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212101012120 is an abundant number, since it is smaller than the sum of its proper divisors (253948913851080).

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

101212101012120 is a wasteful number, since it uses less digits than its factorization.

101212101012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95099338 (or 95099327 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101212101012120 its reverse (21210101212101), we get a palindrome (122422202224221).

The spelling of 101212101012120 in words is "one hundred one trillion, two hundred twelve billion, one hundred one million, twelve thousand, one hundred twenty".