2110112122100 has 18 divisors (see below), whose sum is σ = 4578943305174. Its totient is φ = 844044848800.

The previous prime is 2110112122091. The next prime is 2110112122103. The reversal of 2110112122100 is 12212110112.

It can be written as a sum of positive squares in 3 ways, for example, as 334854339556 + 1775257782544 = 578666^2 + 1332388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110112122103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10550560511 + ... + 10550560710.

Almost surely, 2^{2110112122100} is an apocalyptic number.

2110112122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110112122100 is an abundant number, since it is smaller than the sum of its proper divisors (2468831183074).

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

2110112122100 is a wasteful number, since it uses less digits than its factorization.

2110112122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21101121235 (or 21101121228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2110112122100 its reverse (12212110112), we get a palindrome (2122324232212).

The spelling of 2110112122100 in words is "two trillion, one hundred ten billion, one hundred twelve million, one hundred twenty-two thousand, one hundred".