101011101201 has 12 divisors (see below), whose sum is σ = 145996306612. Its totient is φ = 67298557536.

The previous prime is 101011101167. The next prime is 101011101241. The reversal of 101011101201 is 102101110101.

It can be written as a sum of positive squares in 2 ways, for example, as 72912960576 + 28098140625 = 270024^2 + 167625^2 .

It is not a de Polignac number, because 101011101201 - 2¹⁴ = 101011084817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011101241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3499546 + ... + 3528291.

Almost surely, 2^101011101201 is an apocalyptic number.

It is an amenable number.

101011101201 is a deficient number, since it is larger than the sum of its proper divisors (44985205411).

101011101201 is a wasteful number, since it uses less digits than its factorization.

101011101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029440 (or 7029437 counting only the distinct ones).

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

Adding to 101011101201 its reverse (102101110101), we get a palindrome (203112211302).

The spelling of 101011101201 in words is "one hundred one billion, eleven million, one hundred one thousand, two hundred one".