2100110101122 has 32 divisors (see below), whose sum is σ = 4588689556224. Its totient is φ = 635476006800.

The previous prime is 2100110101087. The next prime is 2100110101147. The reversal of 2100110101122 is 2211010110012.

It is a junction number, because it is equal to n+sod(n) for n = 2100110101098 and 2100110101107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22978888 + ... + 23070099.

It is an arithmetic number, because the mean of its divisors is an integer number (143396548632).

Almost surely, 2^{2100110101122} is an apocalyptic number.

2100110101122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2100110101122 is an abundant number, since it is smaller than the sum of its proper divisors (2488579455102).

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

2100110101122 is a wasteful number, since it uses less digits than its factorization.

2100110101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46049694.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2100110101122 its reverse (2211010110012), we get a palindrome (4311120211134).

The spelling of 2100110101122 in words is "two trillion, one hundred billion, one hundred ten million, one hundred one thousand, one hundred twenty-two".