100122102101 has 16 divisors (see below), whose sum is σ = 114585827328. Its totient is φ = 85698615600.

The previous prime is 100122101969. The next prime is 100122102103. The reversal of 100122102101 is 101201221001.

It is a cyclic number.

It is not a de Polignac number, because 100122102101 - 2¹⁴ = 100122085717 is a prime.

It is a super-2 number, since 2×100122102101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122102103) 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, 28514936 + ... + 28518446.

It is an arithmetic number, because the mean of its divisors is an integer number (7161614208).

Almost surely, 2^100122102101 is an apocalyptic number.

It is an amenable number.

100122102101 is a deficient number, since it is larger than the sum of its proper divisors (14463725227).

100122102101 is a wasteful number, since it uses less digits than its factorization.

100122102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8072.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100122102101 its reverse (101201221001), we get a palindrome (201323323102).

The spelling of 100122102101 in words is "one hundred billion, one hundred twenty-two million, one hundred two thousand, one hundred one".