1011121011111 has 16 divisors (see below), whose sum is σ = 1356501129984. Its totient is φ = 669912372864.

The previous prime is 1011121011101. The next prime is 1011121011133. The reversal of 1011121011111 is 1111101211101.

It is not a de Polignac number, because 1011121011111 - 2⁷ = 1011121010983 is a prime.

It is a super-2 number, since 2×1011121011111² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011121011101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2382591 + ... + 2774703.

It is an arithmetic number, because the mean of its divisors is an integer number (84781320624).

Almost surely, 2^{1011121011111} is an apocalyptic number.

1011121011111 is a deficient number, since it is larger than the sum of its proper divisors (345380118873).

1011121011111 is a wasteful number, since it uses less digits than its factorization.

1011121011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397430.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 1011121011111 its reverse (1111101211101), we get a palindrome (2122222222212).

The spelling of 1011121011111 in words is "one trillion, eleven billion, one hundred twenty-one million, eleven thousand, one hundred eleven".