2102122112202 has 160 divisors (see below), whose sum is σ = 5630636968704. Its totient is φ = 573125414400.

The previous prime is 2102122112201. The next prime is 2102122112221. The reversal of 2102122112202 is 2022112212012.

It is a happy number.

2102122112202 is a `hidden beast` number, since 21 + 0 + 212 + 211 + 220 + 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 (2102122112201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10884802 + ... + 11076242.

Almost surely, 2^{2102122112202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102122112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815318484352).

2102122112202 is an abundant number, since it is smaller than the sum of its proper divisors (3528514856502).

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

2102122112202 is a wasteful number, since it uses less digits than its factorization.

2102122112202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191906 (or 191897 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2102122112202 its reverse (2022112212012), we get a palindrome (4124234324214).

The spelling of 2102122112202 in words is "two trillion, one hundred two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred two".