110212000101001 has 16 divisors (see below), whose sum is σ = 110527209450000. Its totient is φ = 109897249186816.

The previous prime is 110212000100987. The next prime is 110212000101011. The reversal of 110212000101001 is 100101000212011.

It can be written as a sum of positive squares in 8 ways, for example, as 11299009960000 + 98912990141001 = 3361400^2 + 9945501^2 .

It is a cyclic number.

It is not a de Polignac number, because 110212000101001 - 2¹¹ = 110212000098953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110212000101011) 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, 8039383335 + ... + 8039397043.

It is an arithmetic number, because the mean of its divisors is an integer number (6907950590625).

Almost surely, 2^{110212000101001} is an apocalyptic number.

It is an amenable number.

110212000101001 is a deficient number, since it is larger than the sum of its proper divisors (315209348999).

110212000101001 is a wasteful number, since it uses less digits than its factorization.

110212000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28796.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110212000101001 its reverse (100101000212011), we get a palindrome (210313000313012).

The spelling of 110212000101001 in words is "one hundred ten trillion, two hundred twelve billion, one hundred one thousand, one".