2112122102100 has 72 divisors (see below), whose sum is σ = 6117811747488. Its totient is φ = 562611504000.

The previous prime is 2112122102039. The next prime is 2112122102119. The reversal of 2112122102100 is 12012212112.

It is a super-2 number, since 2×2112122102100² (a number of 25 digits) contains 22 as substring.

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 2112122102100.

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, 3609051 + ... + 4153250.

It is an arithmetic number, because the mean of its divisors is an integer number (84969607604).

Almost surely, 2^{2112122102100} is an apocalyptic number.

2112122102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112122102100 is an abundant number, since it is smaller than the sum of its proper divisors (4005689645388).

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

2112122102100 is a wasteful number, since it uses less digits than its factorization.

2112122102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7763225 (or 7763218 counting only the distinct ones).

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

Adding to 2112122102100 its reverse (12012212112), we get a palindrome (2124134314212).

The spelling of 2112122102100 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred two thousand, one hundred".