2102122222002 has 96 divisors (see below), whose sum is σ = 5069107293120. Its totient is φ = 624159768960.

The previous prime is 2102122221931. The next prime is 2102122222003. The reversal of 2102122222002 is 2002222212012.

2102122222002 is a `hidden beast` number, since 210 + 212 + 22 + 220 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2102122222003) 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, 7811649 + ... + 8076267.

It is an arithmetic number, because the mean of its divisors is an integer number (52803200970).

Almost surely, 2^{2102122222002} is an apocalyptic number.

2102122222002 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 2102122222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534553646560).

2102122222002 is an abundant number, since it is smaller than the sum of its proper divisors (2966985071118).

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

2102122222002 is a wasteful number, since it uses less digits than its factorization.

2102122222002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265448 (or 265445 counting only the distinct ones).

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

Adding to 2102122222002 its reverse (2002222212012), we get a palindrome (4104344434014).

It can be divided in two parts, 210 and 2122222002, that added together give a palindrome (2122222212).

The spelling of 2102122222002 in words is "two trillion, one hundred two billion, one hundred twenty-two million, two hundred twenty-two thousand, two".