102212011221012 has 288 divisors, whose sum is σ = 345474208235520. Its totient is φ = 24676727811840.

The previous prime is 102212011220939. The next prime is 102212011221017. The reversal of 102212011221012 is 210122110212201.

102212011221012 is a `hidden beast` number, since 10 + 221 + 201 + 1 + 221 + 0 + 12 = 666.

It is a super-2 number, since 2×102212011221012² (a number of 29 digits) contains 22 as substring.

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 (102212011221017) by changing a digit.

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, 15516948 + ... + 21099755.

It is an arithmetic number, because the mean of its divisors is an integer number (1199563223040).

Almost surely, 2^{102212011221012} is an apocalyptic number.

102212011221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212011221012 is an abundant number, since it is smaller than the sum of its proper divisors (243262197014508).

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

102212011221012 is a wasteful number, since it uses less digits than its factorization.

102212011221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36616803 (or 36616798 counting only the distinct ones).

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

Adding to 102212011221012 its reverse (210122110212201), we get a palindrome (312334121433213).

The spelling of 102212011221012 in words is "one hundred two trillion, two hundred twelve billion, eleven million, two hundred twenty-one thousand, twelve".