102202214000 has 80 divisors (see below), whose sum is σ = 253804190016. Its totient is φ = 39775968000.

The previous prime is 102202213999. The next prime is 102202214021. The reversal of 102202214000 is 412202201.

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

It is a congruent number.

It is an unprimeable number.

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, 616556 + ... + 764555.

Almost surely, 2^102202214000 is an apocalyptic number.

102202214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202214000 is an abundant number, since it is smaller than the sum of its proper divisors (151601976016).

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

102202214000 is a wasteful number, since it uses less digits than its factorization.

102202214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381171 (or 1381155 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102202214000 its reverse (412202201), we get a palindrome (102614416201).

The spelling of 102202214000 in words is "one hundred two billion, two hundred two million, two hundred fourteen thousand".