122101582167 has 16 divisors (see below), whose sum is σ = 180908277760. Its totient is φ = 81393384600.

The previous prime is 122101582139. The next prime is 122101582193. The reversal of 122101582167 is 761285101221.

It is a happy number.

122101582167 is a `hidden beast` number, since 1 + 2 + 2 + 10 + 1 + 582 + 1 + 67 = 666.

It is not a de Polignac number, because 122101582167 - 2⁷ = 122101582039 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101589167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86442 + ... + 501672.

It is an arithmetic number, because the mean of its divisors is an integer number (11306767360).

Almost surely, 2^122101582167 is an apocalyptic number.

122101582167 is a deficient number, since it is larger than the sum of its proper divisors (58806695593).

122101582167 is a wasteful number, since it uses less digits than its factorization.

122101582167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426131 (or 426125 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 122101582167 its reverse (761285101221), we get a palindrome (883386683388).

The spelling of 122101582167 in words is "one hundred twenty-two billion, one hundred one million, five hundred eighty-two thousand, one hundred sixty-seven".