102110101200122 has 256 divisors, whose sum is σ = 177805393920000. Its totient is φ = 43740989832960.

The previous prime is 102110101200109. The next prime is 102110101200127. The reversal of 102110101200122 is 221002101011201.

It is a junction number, because it is equal to n+sod(n) for n = 102110101200097 and 102110101200106.

It is not an unprimeable number, because it can be changed into a prime (102110101200127) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 58050085079 + ... + 58050086837.

It is an arithmetic number, because the mean of its divisors is an integer number (694552320000).

Almost surely, 2^{102110101200122} is an apocalyptic number.

102110101200122 is a deficient number, since it is larger than the sum of its proper divisors (75695292719878).

102110101200122 is a wasteful number, since it uses less digits than its factorization.

102110101200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102110101200122 its reverse (221002101011201), we get a palindrome (323112202211323).

The spelling of 102110101200122 in words is "one hundred two trillion, one hundred ten billion, one hundred one million, two hundred thousand, one hundred twenty-two".