101101121112201 has 16 divisors (see below), whose sum is σ = 154162455066624. Its totient is φ = 57733217763984.

The previous prime is 101101121112191. The next prime is 101101121112247. The reversal of 101101121112201 is 102211121101101.

It is not a de Polignac number, because 101101121112201 - 2⁹ = 101101121111689 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101101121112001) 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, 1618778155 + ... + 1618840608.

It is an arithmetic number, because the mean of its divisors is an integer number (9635153441664).

Almost surely, 2^{101101121112201} is an apocalyptic number.

It is an amenable number.

101101121112201 is a deficient number, since it is larger than the sum of its proper divisors (53061333954423).

101101121112201 is a wasteful number, since it uses less digits than its factorization.

101101121112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237620260.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101101121112201 its reverse (102211121101101), we get a palindrome (203312242213302).

The spelling of 101101121112201 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, one hundred twelve thousand, two hundred one".