1101000122001 has 24 divisors (see below), whose sum is σ = 1712928298536. Its totient is φ = 677435109120.

The previous prime is 1101000121999. The next prime is 1101000122041. The reversal of 1101000122001 is 1002210001011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12992580225 + 1088007541776 = 113985^2 + 1043076^2 .

It is not a de Polignac number, because 1101000122001 - 2¹ = 1101000121999 is a prime.

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 (1101000122041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55021 + ... + 1484933.

It is an arithmetic number, because the mean of its divisors is an integer number (71372012439).

Almost surely, 2^{1101000122001} is an apocalyptic number.

It is an amenable number.

1101000122001 is a deficient number, since it is larger than the sum of its proper divisors (611928176535).

1101000122001 is a wasteful number, since it uses less digits than its factorization.

1101000122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436513 (or 1436510 counting only the distinct ones).

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

Adding to 1101000122001 its reverse (1002210001011), we get a palindrome (2103210123012).

The spelling of 1101000122001 in words is "one trillion, one hundred one billion, one hundred twenty-two thousand, one".