1122101121211 has 16 divisors (see below), whose sum is σ = 1299877060608. Its totient is φ = 948730291200.

The previous prime is 1122101121179. The next prime is 1122101121283. The reversal of 1122101121211 is 1121211012211.

It is a cyclic number.

It is not a de Polignac number, because 1122101121211 - 2⁵ = 1122101121179 is a prime.

It is a super-2 number, since 2×1122101121211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122101101211) 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, 1134075 + ... + 1878916.

It is an arithmetic number, because the mean of its divisors is an integer number (81242316288).

Almost surely, 2^{1122101121211} is an apocalyptic number.

1122101121211 is a deficient number, since it is larger than the sum of its proper divisors (177775939397).

1122101121211 is an equidigital number, since it uses as much as digits as its factorization.

1122101121211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013722.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 1122101121211 its reverse (1121211012211), we get a palindrome (2243312133422).

The spelling of 1122101121211 in words is "one trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, two hundred eleven".