102222121202112 has 112 divisors (see below), whose sum is σ = 271892788549632. Its totient is φ = 33893908561920.

The previous prime is 102222121201999. The next prime is 102222121202143. The reversal of 102222121202112 is 211202121222201.

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 15 ways as a sum of consecutive naturals, for example, 362674423 + ... + 362956169.

Almost surely, 2^{102222121202112} is an apocalyptic number.

102222121202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222121202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135946394274816).

102222121202112 is an abundant number, since it is smaller than the sum of its proper divisors (169670667347520).

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

102222121202112 is a wasteful number, since it uses less digits than its factorization.

102222121202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291746 (or 291736 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102222121202112 its reverse (211202121222201), we get a palindrome (313424242424313).

The spelling of 102222121202112 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred two thousand, one hundred twelve".