101100022112011 has 8 divisors (see below), whose sum is σ = 114607312515920. Its totient is φ = 88411355368992.

The previous prime is 101100022111993. The next prime is 101100022112017. The reversal of 101100022112011 is 110211220001101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 101100022112011 - 2¹³ = 101100022103819 is a prime.

It is a super-2 number, since 2×101100022112011² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100022111982 and 101100022112000.

It is not an unprimeable number, because it can be changed into a prime (101100022112017) 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, 204655914960 + ... + 204655915453.

It is an arithmetic number, because the mean of its divisors is an integer number (14325914064490).

Almost surely, 2^{101100022112011} is an apocalyptic number.

101100022112011 is a deficient number, since it is larger than the sum of its proper divisors (13507290403909).

101100022112011 is a wasteful number, since it uses less digits than its factorization.

101100022112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409311830445.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101100022112011 its reverse (110211220001101), we get a palindrome (211311242113112).

The spelling of 101100022112011 in words is "one hundred one trillion, one hundred billion, twenty-two million, one hundred twelve thousand, eleven".