101111311102301 has 16 divisors (see below), whose sum is σ = 102806814190080. Its totient is φ = 99421312422960.

The previous prime is 101111311102297. The next prime is 101111311102363. The reversal of 101111311102301 is 103201113111101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101111311102301 - 2² = 101111311102297 is a prime.

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 101111311102301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111311102201) 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, 656374850 + ... + 656528876.

It is an arithmetic number, because the mean of its divisors is an integer number (6425425886880).

Almost surely, 2^{101111311102301} is an apocalyptic number.

It is an amenable number.

101111311102301 is a deficient number, since it is larger than the sum of its proper divisors (1695503087779).

101111311102301 is a wasteful number, since it uses less digits than its factorization.

101111311102301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171824.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 101111311102301 its reverse (103201113111101), we get a palindrome (204312424213402).

The spelling of 101111311102301 in words is "one hundred one trillion, one hundred eleven billion, three hundred eleven million, one hundred two thousand, three hundred one".