1211102011121 has 8 divisors (see below), whose sum is σ = 1223261480424. Its totient is φ = 1198945843200.

The previous prime is 1211102011103. The next prime is 1211102011123.

1211102011121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 109189932721 + 1101912078400 = 330439^2 + 1049720^2 .

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 1211102011121 - 2⁶ = 1211102011057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1211102011096 and 1211102011105.

It is not an unprimeable number, because it can be changed into a prime (1211102011123) 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, 84650 + ... + 1558643.

It is an arithmetic number, because the mean of its divisors is an integer number (152907685053).

Almost surely, 2^{1211102011121} is an apocalyptic number.

It is an amenable number.

1211102011121 is a deficient number, since it is larger than the sum of its proper divisors (12159469303).

1211102011121 is a wasteful number, since it uses less digits than its factorization.

1211102011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650691.

The product of its (nonzero) digits is 8, while the sum is 14.

The spelling of 1211102011121 in words is "one trillion, two hundred eleven billion, one hundred two million, eleven thousand, one hundred twenty-one".