102212022001012 has 192 divisors, whose sum is σ = 225850886553600. Its totient is φ = 39319496824320.

The previous prime is 102212022001007. The next prime is 102212022001027. The reversal of 102212022001012 is 210100220212201.

It is a happy number.

It is a super-2 number, since 2×102212022001012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4136618914 + ... + 4136643622.

It is an arithmetic number, because the mean of its divisors is an integer number (1176306700800).

Almost surely, 2^{102212022001012} 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 102212022001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112925443276800).

102212022001012 is an abundant number, since it is smaller than the sum of its proper divisors (123638864552588).

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

102212022001012 is a wasteful number, since it uses less digits than its factorization.

102212022001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25446 (or 25444 counting only the distinct ones).

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

Adding to 102212022001012 its reverse (210100220212201), we get a palindrome (312312242213213).

The spelling of 102212022001012 in words is "one hundred two trillion, two hundred twelve billion, twenty-two million, one thousand, twelve".