102201221212000 has 96 divisors (see below), whose sum is σ = 251277968358144. Its totient is φ = 40852882816000.

The previous prime is 102201221211959. The next prime is 102201221212007. The reversal of 102201221212000 is 212122102201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201221212007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2702032 + ... + 14550031.

It is an arithmetic number, because the mean of its divisors is an integer number (2617478837064).

Almost surely, 2^{102201221212000} is an apocalyptic number.

102201221212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201221212000 is an abundant number, since it is smaller than the sum of its proper divisors (149076747146144).

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

102201221212000 is a wasteful number, since it uses less digits than its factorization.

102201221212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17253569 (or 17253551 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102201221212000 its reverse (212122102201), we get a palindrome (102413343314201).

The spelling of 102201221212000 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-one million, two hundred twelve thousand".