101110011201 has 6 divisors (see below), whose sum is σ = 146047793970. Its totient is φ = 67406674128.

The previous prime is 101110011199. The next prime is 101110011209. The reversal of 101110011201 is 102110011101.

It can be written as a sum of positive squares in only one way, i.e., 66731288976 + 34378722225 = 258324^2 + 185415^2 .

It is not a de Polignac number, because 101110011201 - 2¹ = 101110011199 is a prime.

It is a super-4 number, since 4×101110011201⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11234445689 = 101110011201 / (1 + 0 + 1 + 1 + 1 + 0 + 0 + 1 + 1 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (101110011209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5617222836 + ... + 5617222853.

It is an arithmetic number, because the mean of its divisors is an integer number (24341298995).

Almost surely, 2^101110011201 is an apocalyptic number.

It is an amenable number.

101110011201 is a deficient number, since it is larger than the sum of its proper divisors (44937782769).

101110011201 is a wasteful number, since it uses less digits than its factorization.

101110011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234445695 (or 11234445692 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101110011201 its reverse (102110011101), we get a palindrome (203220022302).

The spelling of 101110011201 in words is "one hundred one billion, one hundred ten million, eleven thousand, two hundred one".