110022121012101 has 16 divisors (see below), whose sum is σ = 153075870420864. Its totient is φ = 70158293434944.

The previous prime is 110022121012093. The next prime is 110022121012121. The reversal of 110022121012101 is 101210121220011.

It is a happy number.

It is not a de Polignac number, because 110022121012101 - 2³ = 110022121012093 is a prime.

It is a super-2 number, since 2×110022121012101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110022121012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1787446 + ... + 14941191.

It is an arithmetic number, because the mean of its divisors is an integer number (9567241901304).

Almost surely, 2^{110022121012101} is an apocalyptic number.

It is an amenable number.

110022121012101 is a deficient number, since it is larger than the sum of its proper divisors (43053749408763).

110022121012101 is a wasteful number, since it uses less digits than its factorization.

110022121012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16823980.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110022121012101 its reverse (101210121220011), we get a palindrome (211232242232112).

The spelling of 110022121012101 in words is "one hundred ten trillion, twenty-two billion, one hundred twenty-one million, twelve thousand, one hundred one".