100122101001119 has 8 divisors (see below), whose sum is σ = 106014445512048. Its totient is φ = 94230068618880.

The previous prime is 100122101001107. The next prime is 100122101001121. The reversal of 100122101001119 is 911100101221001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122101001119 is a prime.

It is a super-2 number, since 2×100122101001119² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100122101001119.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122101001179) 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 7 ways as a sum of consecutive naturals, for example, 77371592 + ... + 78654989.

It is an arithmetic number, because the mean of its divisors is an integer number (13251805689006).

Almost surely, 2^{100122101001119} is an apocalyptic number.

100122101001119 is a deficient number, since it is larger than the sum of its proper divisors (5892344510929).

100122101001119 is a wasteful number, since it uses less digits than its factorization.

100122101001119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156064345.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 100122101001119 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, one thousand, one hundred nineteen".