101311200101 has 16 divisors (see below), whose sum is σ = 105990163200. Its totient is φ = 96655435008.

The previous prime is 101311200079. The next prime is 101311200119. The reversal of 101311200101 is 101002113101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101311200101 - 2¹⁸ = 101310937957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311200301) 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, 15928760 + ... + 15935118.

It is an arithmetic number, because the mean of its divisors is an integer number (6624385200).

Almost surely, 2^101311200101 is an apocalyptic number.

It is an amenable number.

101311200101 is a deficient number, since it is larger than the sum of its proper divisors (4678963099).

101311200101 is an equidigital number, since it uses as much as digits as its factorization.

101311200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8068.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101311200101 its reverse (101002113101), we get a palindrome (202313313202).

The spelling of 101311200101 in words is "one hundred one billion, three hundred eleven million, two hundred thousand, one hundred one".