101022110110091 has 16 divisors (see below), whose sum is σ = 112081511095200. Its totient is φ = 90661488922368.

The previous prime is 101022110110067. The next prime is 101022110110109. The reversal of 101022110110091 is 190011011220101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101022110110091 is a prime.

It is a super-3 number, since 3×101022110110091³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022110116091) 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, 1729623746 + ... + 1729682151.

It is an arithmetic number, because the mean of its divisors is an integer number (7005094443450).

Almost surely, 2^{101022110110091} is an apocalyptic number.

101022110110091 is a deficient number, since it is larger than the sum of its proper divisors (11059400985109).

101022110110091 is a wasteful number, since it uses less digits than its factorization.

101022110110091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459305998.

The product of its (nonzero) digits is 36, while the sum is 20.

Adding to 101022110110091 its reverse (190011011220101), we get a palindrome (291033121330192).

The spelling of 101022110110091 in words is "one hundred one trillion, twenty-two billion, one hundred ten million, one hundred ten thousand, ninety-one".