2101110100110 has 96 divisors (see below), whose sum is σ = 6253418538432. Its totient is φ = 479475279360.

The previous prime is 2101110100097. The next prime is 2101110100123. The reversal of 2101110100110 is 110010111012.

It is an interprime number because it is at equal distance from previous prime (2101110100097) and next prime (2101110100123).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2101110100092 and 2101110100101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2313961 + ... + 3091380.

It is an arithmetic number, because the mean of its divisors is an integer number (65139776442).

Almost surely, 2^{2101110100110} is an apocalyptic number.

2101110100110 is an abundant number, since it is smaller than the sum of its proper divisors (4152308438322).

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

2101110100110 is a wasteful number, since it uses less digits than its factorization.

2101110100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405978 (or 5405975 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2101110100110 its reverse (110010111012), we get a palindrome (2211120211122).

The spelling of 2101110100110 in words is "two trillion, one hundred one billion, one hundred ten million, one hundred thousand, one hundred ten".