101111220101201 has 16 divisors (see below), whose sum is σ = 102686140222848. Its totient is φ = 99548678880000.

The previous prime is 101111220101167. The next prime is 101111220101209. The reversal of 101111220101201 is 102101022111101.

It is a cyclic number.

It is not a de Polignac number, because 101111220101201 - 2⁴² = 96713173590097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111220101209) 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, 28396076 + ... + 31757826.

It is an arithmetic number, because the mean of its divisors is an integer number (6417883763928).

Almost surely, 2^{101111220101201} is an apocalyptic number.

It is an amenable number.

101111220101201 is a deficient number, since it is larger than the sum of its proper divisors (1574920121647).

101111220101201 is a wasteful number, since it uses less digits than its factorization.

101111220101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363592.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101111220101201 its reverse (102101022111101), we get a palindrome (203212242212302).

The spelling of 101111220101201 in words is "one hundred one trillion, one hundred eleven billion, two hundred twenty million, one hundred one thousand, two hundred one".