10112121002111 has 16 divisors (see below), whose sum is σ = 11433452279040. Its totient is φ = 8892685079040.

The previous prime is 10112121002099. The next prime is 10112121002129. The reversal of 10112121002111 is 11120012121101.

10112121002111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10112121002111 - 2⁶ = 10112121002047 is a prime.

It is a super-2 number, since 2×10112121002111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112121002311) 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, 330813776 + ... + 330844341.

It is an arithmetic number, because the mean of its divisors is an integer number (714590767440).

Almost surely, 2^{10112121002111} is an apocalyptic number.

10112121002111 is a deficient number, since it is larger than the sum of its proper divisors (1321331276929).

10112121002111 is a wasteful number, since it uses less digits than its factorization.

10112121002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661658194.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10112121002111 its reverse (11120012121101), we get a palindrome (21232133123212).

The spelling of 10112121002111 in words is "ten trillion, one hundred twelve billion, one hundred twenty-one million, two thousand, one hundred eleven".