102201012201112 has 384 divisors, whose sum is σ = 219125012520960. Its totient is φ = 44635852800000.

The previous prime is 102201012201089. The next prime is 102201012201133. The reversal of 102201012201112 is 211102210102201.

It is a super-2 number, since 2×102201012201112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159439956312 + ... + 159439956952.

It is an arithmetic number, because the mean of its divisors is an integer number (570638053440).

Almost surely, 2^{102201012201112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102201012201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109562506260480).

102201012201112 is an abundant number, since it is smaller than the sum of its proper divisors (116924000319848).

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

102201012201112 is a wasteful number, since it uses less digits than its factorization.

102201012201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102201012201112 its reverse (211102210102201), we get a palindrome (313303222303313).

The spelling of 102201012201112 in words is "one hundred two trillion, two hundred one billion, twelve million, two hundred one thousand, one hundred twelve".