10101013222301 has 24 divisors (see below), whose sum is σ = 10525338913320. Its totient is φ = 9682263320576.

The previous prime is 10101013222253. The next prime is 10101013222303. The reversal of 10101013222301 is 10322231010101.

It can be written as a sum of positive squares in 12 ways, for example, as 5772241697401 + 4328771524900 = 2402549^2 + 2080570^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10101013222301 is a prime.

It is a super-3 number, since 3×10101013222301³ (a number of 40 digits) contains 333 as substring.

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 10101013222301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101013222303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2096948645 + ... + 2096953461.

It is an arithmetic number, because the mean of its divisors is an integer number (438555788055).

Almost surely, 2^{10101013222301} is an apocalyptic number.

It is an amenable number.

10101013222301 is a deficient number, since it is larger than the sum of its proper divisors (424325691019).

10101013222301 is an equidigital number, since it uses as much as digits as its factorization.

10101013222301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8401 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10101013222301 its reverse (10322231010101), we get a palindrome (20423244232402).

The spelling of 10101013222301 in words is "ten trillion, one hundred one billion, thirteen million, two hundred twenty-two thousand, three hundred one".