102002012221122 has 64 divisors (see below), whose sum is σ = 246346897104000. Its totient is φ = 31097296574784.

The previous prime is 102002012221117. The next prime is 102002012221127. The reversal of 102002012221122 is 221122210200201.

It is a happy number.

102002012221122 is a `hidden beast` number, since 10 + 200 + 201 + 22 + 211 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (102002012221117) and next prime (102002012221127).

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 = 102002012221095 and 102002012221104.

It is not an unprimeable number, because it can be changed into a prime (102002012221127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 666446472 + ... + 666599507.

It is an arithmetic number, because the mean of its divisors is an integer number (3849170267250).

Almost surely, 2^{102002012221122} is an apocalyptic number.

102002012221122 is an abundant number, since it is smaller than the sum of its proper divisors (144344884882878).

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

102002012221122 is a wasteful number, since it uses less digits than its factorization.

102002012221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333046112 (or 1333046106 counting only the distinct ones).

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

Adding to 102002012221122 its reverse (221122210200201), we get a palindrome (323124222421323).

The spelling of 102002012221122 in words is "one hundred two trillion, two billion, twelve million, two hundred twenty-one thousand, one hundred twenty-two".