1011122001101 has 8 divisors (see below), whose sum is σ = 1012127714400. Its totient is φ = 1010116532880.

The previous prime is 1011122001079. The next prime is 1011122001181. The reversal of 1011122001101 is 1011002211101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011122001101 is a prime.

It is a super-2 number, since 2×1011122001101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011122001181) 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, 8829830 + ... + 8943608.

It is an arithmetic number, because the mean of its divisors is an integer number (126515964300).

Almost surely, 2^{1011122001101} is an apocalyptic number.

It is an amenable number.

1011122001101 is a deficient number, since it is larger than the sum of its proper divisors (1005713299).

1011122001101 is a wasteful number, since it uses less digits than its factorization.

1011122001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122539.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011122001101 its reverse (1011002211101), we get a palindrome (2022124212202).

The spelling of 1011122001101 in words is "one trillion, eleven billion, one hundred twenty-two million, one thousand, one hundred one".