2102022322002 has 72 divisors (see below), whose sum is σ = 4670550600768. Its totient is φ = 683236424640.

The previous prime is 2102022321989. The next prime is 2102022322061. The reversal of 2102022322002 is 2002232202012.

2102022322002 is a `hidden beast` number, since 210 + 20 + 2 + 232 + 200 + 2 = 666.

It is a super-3 number, since 3×2102022322002³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63131803 + ... + 63165089.

It is an arithmetic number, because the mean of its divisors is an integer number (64868758344).

Almost surely, 2^{2102022322002} is an apocalyptic number.

2102022322002 is an abundant number, since it is smaller than the sum of its proper divisors (2568528278766).

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

2102022322002 is a wasteful number, since it uses less digits than its factorization.

2102022322002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35464 (or 35420 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2102022322002 its reverse (2002232202012), we get a palindrome (4104254524014).

The spelling of 2102022322002 in words is "two trillion, one hundred two billion, twenty-two million, three hundred twenty-two thousand, two".