1121000101121 has 8 divisors (see below), whose sum is σ = 1152487216104. Its totient is φ = 1089710398080.

The previous prime is 1121000101097. The next prime is 1121000101127. The reversal of 1121000101121 is 1211010001211.

It can be written as a sum of positive squares in 4 ways, for example, as 2778449521 + 1118221651600 = 52711^2 + 1057460^2 .

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 1121000101121 - 2²² = 1120995906817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121000101127) 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, 49341470 + ... + 49364183.

It is an arithmetic number, because the mean of its divisors is an integer number (144060902013).

Almost surely, 2^{1121000101121} is an apocalyptic number.

It is an amenable number.

1121000101121 is a deficient number, since it is larger than the sum of its proper divisors (31487114983).

1121000101121 is an equidigital number, since it uses as much as digits as its factorization.

1121000101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98705971.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1121000101121 its reverse (1211010001211), we get a palindrome (2332010102332).

The spelling of 1121000101121 in words is "one trillion, one hundred twenty-one billion, one hundred one thousand, one hundred twenty-one".