1011111321101 has 16 divisors (see below), whose sum is σ = 1205945603328. Its totient is φ = 828883756800.

The previous prime is 1011111321091. The next prime is 1011111321107. The reversal of 1011111321101 is 1011231111101.

It is a cyclic number.

It is not a de Polignac number, because 1011111321101 - 2¹⁰ = 1011111320077 is a prime.

It is a super-2 number, since 2×1011111321101² (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 (1011111321107) 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, 941621 + ... + 1705541.

It is an arithmetic number, because the mean of its divisors is an integer number (75371600208).

Almost surely, 2^{1011111321101} is an apocalyptic number.

It is an amenable number.

1011111321101 is a deficient number, since it is larger than the sum of its proper divisors (194834282227).

1011111321101 is an equidigital number, since it uses as much as digits as its factorization.

1011111321101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772172.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 1011111321101 its reverse (1011231111101), we get a palindrome (2022342432202).

The spelling of 1011111321101 in words is "one trillion, eleven billion, one hundred eleven million, three hundred twenty-one thousand, one hundred one".