2101122100110 has 256 divisors, whose sum is σ = 5858093767680. Its totient is φ = 476951040000.

The previous prime is 2101122100109. The next prime is 2101122100117. The reversal of 2101122100110 is 110012211012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101122100117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 413522770 + ... + 413527850.

It is an arithmetic number, because the mean of its divisors is an integer number (22883178780).

Almost surely, 2^{2101122100110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101122100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929046883840).

2101122100110 is an abundant number, since it is smaller than the sum of its proper divisors (3756971667570).

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

2101122100110 is a wasteful number, since it uses less digits than its factorization.

2101122100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5875.

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

Adding to 2101122100110 its reverse (110012211012), we get a palindrome (2211134311122).

The spelling of 2101122100110 in words is "two trillion, one hundred one billion, one hundred twenty-two million, one hundred thousand, one hundred ten".