2012102222100 has 72 divisors (see below), whose sum is σ = 5856542948928. Its totient is φ = 533347641600.

The previous prime is 2012102222089. The next prime is 2012102222111. The reversal of 2012102222100 is 12222012102.

It is an interprime number because it is at equal distance from previous prime (2012102222089) and next prime (2012102222111).

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 2012102222100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20030761 + ... + 20130960.

Almost surely, 2^{2012102222100} is an apocalyptic number.

2012102222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012102222100 is an abundant number, since it is smaller than the sum of its proper divisors (3844440726828).

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

2012102222100 is a wasteful number, since it uses less digits than its factorization.

2012102222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40161905 (or 40161898 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2012102222100 its reverse (12222012102), we get a palindrome (2024324234202).

The spelling of 2012102222100 in words is "two trillion, twelve billion, one hundred two million, two hundred twenty-two thousand, one hundred".