1100122100001 has 20 divisors (see below), whose sum is σ = 1647205300224. Its totient is φ = 731713051800.

The previous prime is 1100122099957. The next prime is 1100122100003. The reversal of 1100122100001 is 1000012210011.

It is a happy number.

It is not a de Polignac number, because 1100122100001 - 2¹⁷ = 1100121968929 is a prime.

It is a super-2 number, since 2×1100122100001² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1100122100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15721185 + ... + 15791006.

Almost surely, 2^{1100122100001} is an apocalyptic number.

It is an amenable number.

1100122100001 is a deficient number, since it is larger than the sum of its proper divisors (547083200223).

1100122100001 is an equidigital number, since it uses as much as digits as its factorization.

1100122100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31512634 (or 31512625 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1100122100001 its reverse (1000012210011), we get a palindrome (2100134310012).

The spelling of 1100122100001 in words is "one trillion, one hundred billion, one hundred twenty-two million, one hundred thousand, one".