1211100011121 has 384 divisors, whose sum is σ = 2373597757440. Its totient is φ = 533224581120.

The previous prime is 1211100011111. The next prime is 1211100011137.

1211100011121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1211100011121 - 2²³ = 1211091622513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1211100011097 and 1211100011106.

It is not an unprimeable number, because it can be changed into a prime (1211100011111) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1665886860 + ... + 1665887586.

It is an arithmetic number, because the mean of its divisors is an integer number (6181244160).

Almost surely, 2^{1211100011121} is an apocalyptic number.

1211100011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211100011121 is a deficient number, since it is larger than the sum of its proper divisors (1162497746319).

1211100011121 is a wasteful number, since it uses less digits than its factorization.

1211100011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 12111000 and 11121, that added together give a palindrome (12122121).

The spelling of 1211100011121 in words is "one trillion, two hundred eleven billion, one hundred million, eleven thousand, one hundred twenty-one".