101011112010001 has 8 divisors (see below), whose sum is σ = 102012914531304. Its totient is φ = 100009342675200.

The previous prime is 101011112009981. The next prime is 101011112010071. The reversal of 101011112010001 is 100010211110101.

It can be written as a sum of positive squares in 4 ways, for example, as 32966843288976 + 68044268721025 = 5741676^2 + 8248895^2 .

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 101011112010001 - 2²⁷ = 101010977792273 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 101011112010001.

It is not an unprimeable number, because it can be changed into a prime (101011112010071) 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, 2156536 + ... + 14376121.

It is an arithmetic number, because the mean of its divisors is an integer number (12751614316413).

Almost surely, 2^{101011112010001} is an apocalyptic number.

It is an amenable number.

101011112010001 is a deficient number, since it is larger than the sum of its proper divisors (1001802521303).

101011112010001 is a wasteful number, since it uses less digits than its factorization.

101011112010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16593251.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101011112010001 its reverse (100010211110101), we get a palindrome (201021323120102).

The spelling of 101011112010001 in words is "one hundred one trillion, eleven billion, one hundred twelve million, ten thousand, one".