102112120012122 has 36 divisors (see below), whose sum is σ = 243184373973450. Its totient is φ = 30943066669680.

The previous prime is 102112120012103. The next prime is 102112120012141. The reversal of 102112120012122 is 221210021211201.

It is an interprime number because it is at equal distance from previous prime (102112120012103) and next prime (102112120012141).

It can be written as a sum of positive squares in only one way, i.e., 77864758458201 + 24247361553921 = 8824101^2 + 4924161^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102112120012095 and 102112120012104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23441714997 + ... + 23441719352.

Almost surely, 2^{102112120012122} is an apocalyptic number.

102112120012122 is an abundant number, since it is smaller than the sum of its proper divisors (141072253961328).

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

102112120012122 is a wasteful number, since it uses less digits than its factorization.

102112120012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46883434379 (or 46883434365 counting only the distinct ones).

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

Adding to 102112120012122 its reverse (221210021211201), we get a palindrome (323322141223323).

The spelling of 102112120012122 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty million, twelve thousand, one hundred twenty-two".