1011120211101 has 216 divisors, whose sum is σ = 1917258188832. Its totient is φ = 471696825600.

The previous prime is 1011120211069. The next prime is 1011120211121.

1011120211101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1011120211101 - 2⁵ = 1011120211069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011120211121) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 111217566 + ... + 111226656.

Almost surely, 2^{1011120211101} is an apocalyptic number.

1011120211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011120211101 is a deficient number, since it is larger than the sum of its proper divisors (906137977731).

1011120211101 is a wasteful number, since it uses less digits than its factorization.

1011120211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9193 (or 9162 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, 1011120 and 211101, that added together give a palindrome (1222221).

The spelling of 1011120211101 in words is "one trillion, eleven billion, one hundred twenty million, two hundred eleven thousand, one hundred one".