110101011201121 has 8 divisors (see below), whose sum is σ = 110531255423400. Its totient is φ = 109671541497600.

The previous prime is 110101011201109. The next prime is 110101011201143. The reversal of 110101011201121 is 121102110101011.

It can be written as a sum of positive squares in 4 ways, for example, as 36196298864896 + 73904712336225 = 6016336^2 + 8596785^2 .

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 110101011201121 - 2¹³ = 110101011192929 is a prime.

It is a super-2 number, since 2×110101011201121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110101011201721) 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, 193344826 + ... + 193913443.

It is an arithmetic number, because the mean of its divisors is an integer number (13816406927925).

Almost surely, 2^{110101011201121} is an apocalyptic number.

It is an amenable number.

110101011201121 is a deficient number, since it is larger than the sum of its proper divisors (430244222279).

110101011201121 is an equidigital number, since it uses as much as digits as its factorization.

110101011201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387259379.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110101011201121 its reverse (121102110101011), we get a palindrome (231203121302132).

The spelling of 110101011201121 in words is "one hundred ten trillion, one hundred one billion, eleven million, two hundred one thousand, one hundred twenty-one".