2100222222102 has 64 divisors (see below), whose sum is σ = 4737664753920. Its totient is φ = 689549414400.

The previous prime is 2100222222061. The next prime is 2100222222103. The reversal of 2100222222102 is 2012222220012.

2100222222102 is a `hidden beast` number, since 210 + 0 + 22 + 222 + 210 + 2 = 666.

It is a super-2 number, since 2×2100222222102² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100222222103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775702 + ... + 2191382.

It is an arithmetic number, because the mean of its divisors is an integer number (74026011780).

Almost surely, 2^{2100222222102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100222222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368832376960).

2100222222102 is an abundant number, since it is smaller than the sum of its proper divisors (2637442531818).

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

2100222222102 is a wasteful number, since it uses less digits than its factorization.

2100222222102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416106 (or 1416100 counting only the distinct ones).

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

Adding to 2100222222102 its reverse (2012222220012), we get a palindrome (4112444442114).

The spelling of 2100222222102 in words is "two trillion, one hundred billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred two".