100122210121109 has 16 divisors (see below), whose sum is σ = 114162748043904. Its totient is φ = 86917928064000.

The previous prime is 100122210121099. The next prime is 100122210121121. The reversal of 100122210121109 is 901121012221001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100122210121109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122210121709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329082524 + ... + 329386629.

It is an arithmetic number, because the mean of its divisors is an integer number (7135171752744).

Almost surely, 2^{100122210121109} is an apocalyptic number.

It is an amenable number.

100122210121109 is a deficient number, since it is larger than the sum of its proper divisors (14040537922795).

100122210121109 is a wasteful number, since it uses less digits than its factorization.

100122210121109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658469788.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 100122210121109 in words is "one hundred trillion, one hundred twenty-two billion, two hundred ten million, one hundred twenty-one thousand, one hundred nine".