102110212012112 has 40 divisors (see below), whose sum is σ = 220501154433600. Its totient is φ = 45522818975232.

The previous prime is 102110212012103. The next prime is 102110212012117. The reversal of 102110212012112 is 211210212011201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110212012117) 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 7 ways as a sum of consecutive naturals, for example, 9879078812 + ... + 9879089147.

It is an arithmetic number, because the mean of its divisors is an integer number (5512528860840).

Almost surely, 2^{102110212012112} is an apocalyptic number.

It is an amenable number.

102110212012112 is an abundant number, since it is smaller than the sum of its proper divisors (118390942421488).

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

102110212012112 is a wasteful number, since it uses less digits than its factorization.

102110212012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19758168003 (or 19758167997 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102110212012112 its reverse (211210212011201), we get a palindrome (313320424023313).

The spelling of 102110212012112 in words is "one hundred two trillion, one hundred ten billion, two hundred twelve million, twelve thousand, one hundred twelve".