2101100110112 has 48 divisors (see below), whose sum is σ = 4277493323712. Its totient is φ = 1015344295680.

The previous prime is 2101100110103. The next prime is 2101100110121. The reversal of 2101100110112 is 2110110011012.

It is an interprime number because it is at equal distance from previous prime (2101100110103) and next prime (2101100110121).

It is a junction number, because it is equal to n+sod(n) for n = 2101100110093 and 2101100110102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9131564 + ... + 9358827.

It is an arithmetic number, because the mean of its divisors is an integer number (89114444244).

Almost surely, 2^{2101100110112} is an apocalyptic number.

It is an amenable number.

2101100110112 is an abundant number, since it is smaller than the sum of its proper divisors (2176393213600).

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

2101100110112 is a wasteful number, since it uses less digits than its factorization.

2101100110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18490521 (or 18490513 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2101100110112 its reverse (2110110011012), we get a palindrome (4211210121124).

The spelling of 2101100110112 in words is "two trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred twelve".