110221222122011 has 96 divisors (see below), whose sum is σ = 150513245245440. Its totient is φ = 78534498620160.

The previous prime is 110221222121921. The next prime is 110221222122047.

110221222122011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110221222122011 - 2⁴² = 105823175610907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110221222122211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7257595760 + ... + 7257610946.

It is an arithmetic number, because the mean of its divisors is an integer number (1567846304640).

Almost surely, 2^{110221222122011} is an apocalyptic number.

110221222122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110221222122011 is a deficient number, since it is larger than the sum of its proper divisors (40292023123429).

110221222122011 is a wasteful number, since it uses less digits than its factorization.

110221222122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21385 (or 21374 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 110221222122011 in words is "one hundred ten trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, eleven".