101303013101 has 8 divisors (see below), whose sum is σ = 104054083224. Its totient is φ = 98552635200.

The previous prime is 101303013083. The next prime is 101303013103. The reversal of 101303013101 is 101310303101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49505805001 + 51797208100 = 222499^2 + 227590^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101303013101 - 2¹⁸ = 101302750957 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 (101303013103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130751 + ... + 468723.

It is an arithmetic number, because the mean of its divisors is an integer number (13006760403).

Almost surely, 2^101303013101 is an apocalyptic number.

It is an amenable number.

101303013101 is a deficient number, since it is larger than the sum of its proper divisors (2751070123).

101303013101 is an equidigital number, since it uses as much as digits as its factorization.

101303013101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346111.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 101303013101 its reverse (101310303101), we get a palindrome (202613316202).

Subtracting 101303013101 from its reverse (101310303101), we obtain a square (7290000 = 2700²).

The spelling of 101303013101 in words is "one hundred one billion, three hundred three million, thirteen thousand, one hundred one".