10101111122121 has 4 divisors (see below), whose sum is σ = 13468148162832. Its totient is φ = 6734074081412.

The previous prime is 10101111122107. The next prime is 10101111122171. The reversal of 10101111122121 is 12122111110101.

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 a cyclic number.

It is not a de Polignac number, because 10101111122121 - 2⁹ = 10101111121609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101111122121.

It is not an unprimeable number, because it can be changed into a prime (10101111122171) 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, 1683518520351 + ... + 1683518520356.

It is an arithmetic number, because the mean of its divisors is an integer number (3367037040708).

Almost surely, 2^{10101111122121} is an apocalyptic number.

It is an amenable number.

10101111122121 is a deficient number, since it is larger than the sum of its proper divisors (3367037040711).

10101111122121 is an equidigital number, since it uses as much as digits as its factorization.

10101111122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367037040710.

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

Adding to 10101111122121 its reverse (12122111110101), we get a palindrome (22223222232222).

The spelling of 10101111122121 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty-one".