1211000001121 has 8 divisors (see below), whose sum is σ = 1229746970088. Its totient is φ = 1192385520000.

The previous prime is 1211000001061. The next prime is 1211000001163.

1211000001121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 21785760000 + 1189214241121 = 147600^2 + 1090511^2 .

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 1211000001121 - 2¹¹ = 1210999999073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1211000001098 and 1211000001107.

It is not an unprimeable number, because it can be changed into a prime (1211000001521) 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, 33103540 + ... + 33140101.

It is an arithmetic number, because the mean of its divisors is an integer number (153718371261).

Almost surely, 2^{1211000001121} is an apocalyptic number.

It is an amenable number.

1211000001121 is a deficient number, since it is larger than the sum of its proper divisors (18746968967).

1211000001121 is a wasteful number, since it uses less digits than its factorization.

1211000001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66243923.

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

It can be divided in two parts, 121100000 and 1121, that added together give a palindrome (121101121).

The spelling of 1211000001121 in words is "one trillion, two hundred eleven billion, one thousand, one hundred twenty-one".