1122000101001 has 24 divisors (see below), whose sum is σ = 1821217559616. Its totient is φ = 660441529440.

The previous prime is 1122000100987. The next prime is 1122000101023. The reversal of 1122000101001 is 1001010002211.

It is a happy number.

It is not a de Polignac number, because 1122000101001 - 2⁷ = 1122000100873 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 (1122000101051) 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, 208470015 + ... + 208475396.

It is an arithmetic number, because the mean of its divisors is an integer number (75884064984).

Almost surely, 2^{1122000101001} is an apocalyptic number.

It is an amenable number.

1122000101001 is a deficient number, since it is larger than the sum of its proper divisors (699217458615).

1122000101001 is a wasteful number, since it uses less digits than its factorization.

1122000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416945453 (or 416945450 counting only the distinct ones).

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

Adding to 1122000101001 its reverse (1001010002211), we get a palindrome (2123010103212).

The spelling of 1122000101001 in words is "one trillion, one hundred twenty-two billion, one hundred one thousand, one".