10211112011121 has 16 divisors (see below), whose sum is σ = 16475071480704. Its totient is φ = 5491690493184.

The previous prime is 10211112011119. The next prime is 10211112011123. The reversal of 10211112011121 is 12111021111201.

It is an interprime number because it is at equal distance from previous prime (10211112011119) and next prime (10211112011123).

It is not a de Polignac number, because 10211112011121 - 2¹ = 10211112011119 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10211112011121.

It is not an unprimeable number, because it can be changed into a prime (10211112011123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14301276970 + ... + 14301277683.

It is an arithmetic number, because the mean of its divisors is an integer number (1029691967544).

Almost surely, 2^{10211112011121} is an apocalyptic number.

It is an amenable number.

10211112011121 is a deficient number, since it is larger than the sum of its proper divisors (6263959469583).

10211112011121 is a wasteful number, since it uses less digits than its factorization.

10211112011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28602554680.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10211112011121 its reverse (12111021111201), we get a palindrome (22322133122322).

The spelling of 10211112011121 in words is "ten trillion, two hundred eleven billion, one hundred twelve million, eleven thousand, one hundred twenty-one".