122114233014102 has 192 divisors, whose sum is σ = 316749543552000. Its totient is φ = 33243353028864.

The previous prime is 122114233014097. The next prime is 122114233014233. The reversal of 122114233014102 is 201410332411221.

122114233014102 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 14 + 233 + 0 + 1 + 410 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7997518924 + ... + 7997534192.

It is an arithmetic number, because the mean of its divisors is an integer number (1649737206000).

Almost surely, 2^{122114233014102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122114233014102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158374771776000).

122114233014102 is an abundant number, since it is smaller than the sum of its proper divisors (194635310537898).

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

122114233014102 is a wasteful number, since it uses less digits than its factorization.

122114233014102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25835 (or 25832 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 122114233014102 its reverse (201410332411221), we get a palindrome (323524565425323).

The spelling of 122114233014102 in words is "one hundred twenty-two trillion, one hundred fourteen billion, two hundred thirty-three million, fourteen thousand, one hundred two".