10122101121111 has 32 divisors (see below), whose sum is σ = 16250888847360. Its totient is φ = 5474592393696.

The previous prime is 10122101121023. The next prime is 10122101121239. The reversal of 10122101121111 is 11112110122101.

It is not a de Polignac number, because 10122101121111 - 2¹¹ = 10122101119063 is a prime.

It is a super-2 number, since 2×10122101121111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122101121511) 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 31 ways as a sum of consecutive naturals, for example, 11235411 + ... + 12102836.

It is an arithmetic number, because the mean of its divisors is an integer number (507840276480).

Almost surely, 2^{10122101121111} is an apocalyptic number.

10122101121111 is a deficient number, since it is larger than the sum of its proper divisors (6128787726249).

10122101121111 is a wasteful number, since it uses less digits than its factorization.

10122101121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23339363.

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

Adding to 10122101121111 its reverse (11112110122101), we get a palindrome (21234211243212).

The spelling of 10122101121111 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, one hundred eleven".