1012212102120 has 128 divisors (see below), whose sum is σ = 3228716505600. Its totient is φ = 252982317056.

The previous prime is 1012212102107. The next prime is 1012212102133. The reversal of 1012212102120 is 212012122101.

It is an interprime number because it is at equal distance from previous prime (1012212102107) and next prime (1012212102133).

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 1012212102120.

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, 550479 + ... + 1525598.

It is an arithmetic number, because the mean of its divisors is an integer number (25224347700).

Almost surely, 2^{1012212102120} is an apocalyptic number.

1012212102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012212102120 is an abundant number, since it is smaller than the sum of its proper divisors (2216504403480).

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

1012212102120 is a wasteful number, since it uses less digits than its factorization.

1012212102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076347 (or 2076343 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1012212102120 its reverse (212012122101), we get a palindrome (1224224224221).

The spelling of 1012212102120 in words is "one trillion, twelve billion, two hundred twelve million, one hundred two thousand, one hundred twenty".