201002102122122 has 72 divisors (see below), whose sum is σ = 506906579255076. Its totient is φ = 57395250065664.

The previous prime is 201002102122117. The next prime is 201002102122139. The reversal of 201002102122122 is 221221201200102.

It is a happy number.

201002102122122 is a `hidden beast` number, since 20 + 10 + 0 + 210 + 212 + 212 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188852980579641 + 12149121542481 = 13742379^2 + 3485559^2 .

It is a super-2 number, since 2×201002102122122² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 201002102122095 and 201002102122104.

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, 65811423 + ... + 68797874.

Almost surely, 2^{201002102122122} is an apocalyptic number.

201002102122122 is an abundant number, since it is smaller than the sum of its proper divisors (305904477132954).

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

201002102122122 is a wasteful number, since it uses less digits than its factorization.

201002102122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134611012 (or 134611002 counting only the distinct ones).

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

Adding to 201002102122122 its reverse (221221201200102), we get a palindrome (422223303322224).

The spelling of 201002102122122 in words is "two hundred one trillion, two billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty-two".