122101993 has 12 divisors (see below), whose sum is σ = 132814080. Its totient is φ = 112200816.

The previous prime is 122101949. The next prime is 122102011. The reversal of 122101993 is 399101221.

It is a de Polignac number, because none of the positive numbers 2^k-122101993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38880 + ... + 41902.

It is an arithmetic number, because the mean of its divisors is an integer number (11067840).

Almost surely, 2^122101993 is an apocalyptic number.

122101993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122101993 is a deficient number, since it is larger than the sum of its proper divisors (10712087).

122101993 is a wasteful number, since it uses less digits than its factorization.

122101993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 122101993 is about 11049.9770587997. The cubic root of 122101993 is about 496.1057388705.

The spelling of 122101993 in words is "one hundred twenty-two million, one hundred one thousand, nine hundred ninety-three".