10102222102014 has 384 divisors, whose sum is σ = 28091142144000. Its totient is φ = 2554214446080.

The previous prime is 10102222101977. The next prime is 10102222102019. The reversal of 10102222102014 is 41020122220101.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102222102019) 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 191 ways as a sum of consecutive naturals, for example, 3782185899 + ... + 3782188569.

It is an arithmetic number, because the mean of its divisors is an integer number (73154016000).

Almost surely, 2^{10102222102014} is an apocalyptic number.

10102222102014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102222102014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045571072000).

10102222102014 is an abundant number, since it is smaller than the sum of its proper divisors (17988920041986).

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

10102222102014 is a wasteful number, since it uses less digits than its factorization.

10102222102014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10102222102014 its reverse (41020122220101), we get a palindrome (51122344322115).

The spelling of 10102222102014 in words is "ten trillion, one hundred two billion, two hundred twenty-two million, one hundred two thousand, fourteen".