10101112011201 has 4 divisors (see below), whose sum is σ = 13468149348272. Its totient is φ = 6734074674132.

The previous prime is 10101112011191. The next prime is 10101112011229. The reversal of 10101112011201 is 10211021110101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10101112011201 - 2¹⁷ = 10101111880129 is a prime.

It is a super-2 number, since 2×10101112011201² (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 (10101112011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1683518668531 + ... + 1683518668536.

It is an arithmetic number, because the mean of its divisors is an integer number (3367037337068).

Almost surely, 2^{10101112011201} is an apocalyptic number.

It is an amenable number.

10101112011201 is a deficient number, since it is larger than the sum of its proper divisors (3367037337071).

10101112011201 is an equidigital number, since it uses as much as digits as its factorization.

10101112011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367037337070.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10101112011201 its reverse (10211021110101), we get a palindrome (20312133121302).

The spelling of 10101112011201 in words is "ten trillion, one hundred one billion, one hundred twelve million, eleven thousand, two hundred one".