1121000102001 has 96 divisors (see below), whose sum is σ = 1781466365952. Its totient is φ = 675100863360.

The previous prime is 1121000101979. The next prime is 1121000102017. The reversal of 1121000102001 is 1002010001211.

It is a happy number.

It is not a de Polignac number, because 1121000102001 - 2⁶ = 1121000101937 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 (1121000103001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 857688790 + ... + 857690096.

It is an arithmetic number, because the mean of its divisors is an integer number (18556941312).

Almost surely, 2^{1121000102001} is an apocalyptic number.

It is an amenable number.

1121000102001 is a deficient number, since it is larger than the sum of its proper divisors (660466263951).

1121000102001 is a wasteful number, since it uses less digits than its factorization.

1121000102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2080 counting only the distinct ones).

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

Adding to 1121000102001 its reverse (1002010001211), we get a palindrome (2123010103212).

The spelling of 1121000102001 in words is "one trillion, one hundred twenty-one billion, one hundred two thousand, one".