101121222112011 has 20 divisors (see below), whose sum is σ = 151689668407200. Its totient is φ = 67132080496656.

The previous prime is 101121222111919. The next prime is 101121222112013. The reversal of 101121222112011 is 110211222121101.

It is a happy number.

101121222112011 is a `hidden beast` number, since 101 + 1 + 212 + 221 + 120 + 11 = 666.

It is not a de Polignac number, because 101121222112011 - 2¹⁴ = 101121222095627 is a prime.

It is a super-2 number, since 2×101121222112011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101121222112013) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2611717356 + ... + 2611756073.

It is an arithmetic number, because the mean of its divisors is an integer number (7584483420360).

Almost surely, 2^{101121222112011} is an apocalyptic number.

101121222112011 is a deficient number, since it is larger than the sum of its proper divisors (50568446295189).

101121222112011 is an equidigital number, since it uses as much as digits as its factorization.

101121222112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223473680 (or 5223473671 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101121222112011 its reverse (110211222121101), we get a palindrome (211332444233112).

The spelling of 101121222112011 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twelve thousand, eleven".