100001020001122 has 32 divisors (see below), whose sum is σ = 151628448403440. Its totient is φ = 49459150540800.

The previous prime is 100001020001101. The next prime is 100001020001147. The reversal of 100001020001122 is 221100020100001.

It can be written as a sum of positive squares in 8 ways, for example, as 22760141436081 + 77240878565041 = 4770759^2 + 8788679^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100001020001099 and 100001020001108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040577778 + ... + 1040673874.

Almost surely, 2^{100001020001122} is an apocalyptic number.

100001020001122 is a deficient number, since it is larger than the sum of its proper divisors (51627428402318).

100001020001122 is a wasteful number, since it uses less digits than its factorization.

100001020001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100966.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100001020001122 its reverse (221100020100001), we get a palindrome (321101040101123).

The spelling of 100001020001122 in words is "one hundred trillion, one billion, twenty million, one thousand, one hundred twenty-two".