10010112101201 has 8 divisors (see below), whose sum is σ = 10046359880040. Its totient is φ = 9973865115648.

The previous prime is 10010112101177. The next prime is 10010112101203. The reversal of 10010112101201 is 10210121101001.

It can be written as a sum of positive squares in 4 ways, for example, as 2587838472976 + 7422273628225 = 1608676^2 + 2724385^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010112101201 is a prime.

It is a super-2 number, since 2×10010112101201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10010112101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39250385 + ... + 39504593.

It is an arithmetic number, because the mean of its divisors is an integer number (1255794985005).

Almost surely, 2^{10010112101201} is an apocalyptic number.

It is an amenable number.

10010112101201 is a deficient number, since it is larger than the sum of its proper divisors (36247778839).

10010112101201 is a wasteful number, since it uses less digits than its factorization.

10010112101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396643.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10010112101201 its reverse (10210121101001), we get a palindrome (20220233202202).

It can be divided in two parts, 10010 and 112101201, that added together give a palindrome (112111211).

The spelling of 10010112101201 in words is "ten trillion, ten billion, one hundred twelve million, one hundred one thousand, two hundred one".