2100220222122 has 96 divisors (see below), whose sum is σ = 5099753355840. Its totient is φ = 619055861760.

The previous prime is 2100220222091. The next prime is 2100220222129. The reversal of 2100220222122 is 2212220220012.

2100220222122 is a `hidden beast` number, since 2 + 100 + 220 + 222 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2100220222095 and 2100220222104.

It is not an unprimeable number, because it can be changed into a prime (2100220222129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27353578 + ... + 27430250.

It is an arithmetic number, because the mean of its divisors is an integer number (53122430790).

Almost surely, 2^{2100220222122} is an apocalyptic number.

2100220222122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100220222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549876677920).

2100220222122 is an abundant number, since it is smaller than the sum of its proper divisors (2999533133718).

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

2100220222122 is a wasteful number, since it uses less digits than its factorization.

2100220222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80468 (or 80465 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2100220222122 its reverse (2212220220012), we get a palindrome (4312440442134).

The spelling of 2100220222122 in words is "two trillion, one hundred billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twenty-two".