1121010201001 has 8 divisors (see below), whose sum is σ = 1132130987208. Its totient is φ = 1109889840000.

The previous prime is 1121010200953. The next prime is 1121010201127. The reversal of 1121010201001 is 1001020101211.

It can be written as a sum of positive squares in 4 ways, for example, as 164377539225 + 956632661776 = 405435^2 + 978076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1121010201001 - 2²¹ = 1121008103849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121010201601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9278541 + ... + 9398581.

It is an arithmetic number, because the mean of its divisors is an integer number (141516373401).

Almost surely, 2^{1121010201001} is an apocalyptic number.

It is an amenable number.

1121010201001 is a deficient number, since it is larger than the sum of its proper divisors (11120786207).

1121010201001 is a wasteful number, since it uses less digits than its factorization.

1121010201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212603.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1121010201001 its reverse (1001020101211), we get a palindrome (2122030302212).

It can be divided in two parts, 11 and 21010201001, that added together give a palindrome (21010201012).

The spelling of 1121010201001 in words is "one trillion, one hundred twenty-one billion, ten million, two hundred one thousand, one".