2101101112110 has 256 divisors, whose sum is σ = 6865907908608. Its totient is φ = 397331827200.

The previous prime is 2101101112087. The next prime is 2101101112127. The reversal of 2101101112110 is 112111011012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1639407 + ... + 2624853.

It is an arithmetic number, because the mean of its divisors is an integer number (26819952768).

Almost surely, 2^{2101101112110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101101112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432953954304).

2101101112110 is an abundant number, since it is smaller than the sum of its proper divisors (4764806796498).

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

2101101112110 is a wasteful number, since it uses less digits than its factorization.

2101101112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985559.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2101101112110 its reverse (112111011012), we get a palindrome (2213212123122).

The spelling of 2101101112110 in words is "two trillion, one hundred one billion, one hundred one million, one hundred twelve thousand, one hundred ten".