102002221122000 has 80 divisors (see below), whose sum is σ = 328855160916672. Its totient is φ = 27200592297600.

The previous prime is 102002221121993. The next prime is 102002221122001. The reversal of 102002221122000 is 221122200201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102002221122000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002221122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8500179094 + ... + 8500191093.

Almost surely, 2^{102002221122000} is an apocalyptic number.

102002221122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002221122000 is an abundant number, since it is smaller than the sum of its proper divisors (226852939794672).

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

102002221122000 is a wasteful number, since it uses less digits than its factorization.

102002221122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17000370213 (or 17000370197 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102002221122000 its reverse (221122200201), we get a palindrome (102223343322201).

The spelling of 102002221122000 in words is "one hundred two trillion, two billion, two hundred twenty-one million, one hundred twenty-two thousand".