10111121111021 has 12 divisors (see below), whose sum is σ = 11764162619388. Its totient is φ = 8665020124992.

The previous prime is 10111121111011. The next prime is 10111121111041. The reversal of 10111121111021 is 12011112111101.

It can be written as a sum of positive squares in 2 ways, for example, as 3345862888900 + 6765258222121 = 1829170^2 + 2601011^2 .

It is not a de Polignac number, because 10111121111021 - 2⁴² = 5713074599917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111121110987 and 10111121111005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111121111011) 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 11 ways as a sum of consecutive naturals, for example, 19444496 + ... + 19957721.

It is an arithmetic number, because the mean of its divisors is an integer number (980346884949).

Almost surely, 2^{10111121111021} is an apocalyptic number.

It is an amenable number.

10111121111021 is a deficient number, since it is larger than the sum of its proper divisors (1653041508367).

10111121111021 is an equidigital number, since it uses as much as digits as its factorization.

10111121111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39407468 (or 39407461 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 10111121111021 its reverse (12011112111101), we get a palindrome (22122233222122).

The spelling of 10111121111021 in words is "ten trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, twenty-one".