2110122022100 has 72 divisors (see below), whose sum is σ = 4604130004320. Its totient is φ = 839413653120.

The previous prime is 2110122022061. The next prime is 2110122022109. The reversal of 2110122022100 is 12202210112.

It is a super-2 number, since 2×2110122022100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110122022109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49997207 + ... + 50039393.

It is an arithmetic number, because the mean of its divisors is an integer number (63946250060).

Almost surely, 2^{2110122022100} is an apocalyptic number.

2110122022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110122022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302065002160).

2110122022100 is an abundant number, since it is smaller than the sum of its proper divisors (2494007982220).

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

2110122022100 is a wasteful number, since it uses less digits than its factorization.

2110122022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44937 (or 44930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2110122022100 its reverse (12202210112), we get a palindrome (2122324232212).

The spelling of 2110122022100 in words is "two trillion, one hundred ten billion, one hundred twenty-two million, twenty-two thousand, one hundred".