102221111200212 has 36 divisors (see below), whose sum is σ = 258405892670016. Its totient is φ = 34071905136720.

The previous prime is 102221111200211. The next prime is 102221111200283. The reversal of 102221111200212 is 212002111122201.

102221111200212 is a `hidden beast` number, since 1 + 0 + 222 + 111 + 120 + 0 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×102221111200212³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (102221111200211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74249964 + ... + 75614147.

It is an arithmetic number, because the mean of its divisors is an integer number (7177941463056).

Almost surely, 2^{102221111200212} is an apocalyptic number.

102221111200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102221111200212 is an abundant number, since it is smaller than the sum of its proper divisors (156184781469804).

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

102221111200212 is a wasteful number, since it uses less digits than its factorization.

102221111200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149883068 (or 149883063 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102221111200212 its reverse (212002111122201), we get a palindrome (314223222322413).

The spelling of 102221111200212 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred eleven million, two hundred thousand, two hundred twelve".