102201002221212 has 72 divisors (see below), whose sum is σ = 258561474155712. Its totient is φ = 34037993664000.

The previous prime is 102201002221189. The next prime is 102201002221217. The reversal of 102201002221212 is 212122200102201.

It is a happy number.

102201002221212 is a `hidden beast` number, since 1 + 0 + 220 + 10 + 0 + 2 + 221 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201002221217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230688712 + ... + 231131312.

It is an arithmetic number, because the mean of its divisors is an integer number (3591131585496).

Almost surely, 2^{102201002221212} is an apocalyptic number.

102201002221212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102201002221212 is an abundant number, since it is smaller than the sum of its proper divisors (156360471934500).

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

102201002221212 is a wasteful number, since it uses less digits than its factorization.

102201002221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448059 (or 448054 counting only the distinct ones).

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

Adding to 102201002221212 its reverse (212122200102201), we get a palindrome (314323202323413).

The spelling of 102201002221212 in words is "one hundred two trillion, two hundred one billion, two million, two hundred twenty-one thousand, two hundred twelve".