101211201303101 has 4 divisors (see below), whose sum is σ = 107164801379772. Its totient is φ = 95257601226432.

The previous prime is 101211201302993. The next prime is 101211201303127. The reversal of 101211201303101 is 101303102112101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 37190799677476 + 64020401625625 = 6098426^2 + 8001275^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211201303101 - 2³⁸ = 100936323396157 is a prime.

It is a super-3 number, since 3×101211201303101³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 5953600076653 = 101211201303101 / (1 + 0 + 1 + 2 + 1 + 1 + 2 + 0 + 1 + 3 + 0 + 3 + 1 + 0 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101211201303101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211201303161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2976800038310 + ... + 2976800038343.

It is an arithmetic number, because the mean of its divisors is an integer number (26791200344943).

Almost surely, 2^{101211201303101} is an apocalyptic number.

It is an amenable number.

101211201303101 is a deficient number, since it is larger than the sum of its proper divisors (5953600076671).

101211201303101 is an equidigital number, since it uses as much as digits as its factorization.

101211201303101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5953600076670.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101211201303101 its reverse (101303102112101), we get a palindrome (202514303415202).

The spelling of 101211201303101 in words is "one hundred one trillion, two hundred eleven billion, two hundred one million, three hundred three thousand, one hundred one".