101011100201 has 12 divisors (see below), whose sum is σ = 111038908596. Its totient is φ = 91819854720.

The previous prime is 101011100137. The next prime is 101011100207. The reversal of 101011100201 is 102001110101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 78581544976 + 22429555225 = 280324^2 + 149765^2 .

It is not a de Polignac number, because 101011100201 - 2⁶ = 101011100137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011100207) 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, 1562741 + ... + 1626093.

It is an arithmetic number, because the mean of its divisors is an integer number (9253242383).

Almost surely, 2^101011100201 is an apocalyptic number.

101011100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101011100201 is a deficient number, since it is larger than the sum of its proper divisors (10027808395).

101011100201 is a wasteful number, since it uses less digits than its factorization.

101011100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76552 (or 76541 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101011100201 its reverse (102001110101), we get a palindrome (203012210302).

The spelling of 101011100201 in words is "one hundred one billion, eleven million, one hundred thousand, two hundred one".