100122110101221 has 12 divisors (see below), whose sum is σ = 144554999200128. Its totient is φ = 61613606215824.

The previous prime is 100122110101217. The next prime is 100122110101261. The reversal of 100122110101221 is 122101011221001.

It is a happy number.

It is not a de Polignac number, because 100122110101221 - 2² = 100122110101217 is a prime.

It is a super-3 number, since 3×100122110101221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100122110101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122110101261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98739753045 + ... + 98739754058.

It is an arithmetic number, because the mean of its divisors is an integer number (12046249933344).

Almost surely, 2^{100122110101221} is an apocalyptic number.

It is an amenable number.

100122110101221 is a deficient number, since it is larger than the sum of its proper divisors (44432889098907).

100122110101221 is a wasteful number, since it uses less digits than its factorization.

100122110101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197479507132 (or 197479507119 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100122110101221 its reverse (122101011221001), we get a palindrome (222223121322222).

The spelling of 100122110101221 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten million, one hundred one thousand, two hundred twenty-one".