102022121210112 has 288 divisors, whose sum is σ = 320076821299200. Its totient is φ = 31963825539072.

The previous prime is 102022121210089. The next prime is 102022121210153. The reversal of 102022121210112 is 211012121220201.

102022121210112 is a `hidden beast` number, since 102 + 0 + 221 + 21 + 210 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13620193 + ... + 19737119.

Almost surely, 2^{102022121210112} is an apocalyptic number.

102022121210112 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 102022121210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160038410649600).

102022121210112 is an abundant number, since it is smaller than the sum of its proper divisors (218054700089088).

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

102022121210112 is a wasteful number, since it uses less digits than its factorization.

102022121210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6117098 (or 6117078 counting only the distinct ones).

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

Adding to 102022121210112 its reverse (211012121220201), we get a palindrome (313034242430313).

The spelling of 102022121210112 in words is "one hundred two trillion, twenty-two billion, one hundred twenty-one million, two hundred ten thousand, one hundred twelve".