2102222202102 has 24 divisors (see below), whose sum is σ = 4968888841800. Its totient is φ = 637037030880.

The previous prime is 2102222202097. The next prime is 2102222202139. The reversal of 2102222202102 is 2012022222012.

2102222202102 is a `hidden beast` number, since 2 + 10 + 222 + 220 + 210 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5308641727 + ... + 5308642122.

It is an arithmetic number, because the mean of its divisors is an integer number (207037035075).

Almost surely, 2^{2102222202102} is an apocalyptic number.

2102222202102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2102222202102 is an abundant number, since it is smaller than the sum of its proper divisors (2866666639698).

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

2102222202102 is a wasteful number, since it uses less digits than its factorization.

2102222202102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10617283868 (or 10617283865 counting only the distinct ones).

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

Adding to 2102222202102 its reverse (2012022222012), we get a palindrome (4114244424114).

It can be divided in two parts, 2102222 and 202102, that added together give a square (2304324 = 1518²).

The spelling of 2102222202102 in words is "two trillion, one hundred two billion, two hundred twenty-two million, two hundred two thousand, one hundred two".