220112001012101 has 24 divisors (see below), whose sum is σ = 243487095165720. Its totient is φ = 198823383982080.

The previous prime is 220112001012077. The next prime is 220112001012103. The reversal of 220112001012101 is 101210100211022.

It can be written as a sum of positive squares in 4 ways, for example, as 57030136348900 + 163081864663201 = 7551830^2 + 12770351^2 .

It is not a de Polignac number, because 220112001012101 - 2³⁸ = 219837123105157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220112001012103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1465296485 + ... + 1465446693.

It is an arithmetic number, because the mean of its divisors is an integer number (10145295631905).

Almost surely, 2^{220112001012101} is an apocalyptic number.

It is an amenable number.

220112001012101 is a deficient number, since it is larger than the sum of its proper divisors (23375094153619).

220112001012101 is a wasteful number, since it uses less digits than its factorization.

220112001012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227525 (or 227514 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 220112001012101 its reverse (101210100211022), we get a palindrome (321322101223123).

The spelling of 220112001012101 in words is "two hundred twenty trillion, one hundred twelve billion, one million, twelve thousand, one hundred one".