10112002121111 has 32 divisors (see below), whose sum is σ = 11690019532800. Its totient is φ = 8644690944000.

The previous prime is 10112002121101. The next prime is 10112002121153. The reversal of 10112002121111 is 11112120021101.

10112002121111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10112002121111 - 2⁶ = 10112002121047 is a prime.

It is a super-2 number, since 2×10112002121111² (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 (10112002121101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2106225911 + ... + 2106230711.

It is an arithmetic number, because the mean of its divisors is an integer number (365313110400).

Almost surely, 2^{10112002121111} is an apocalyptic number.

10112002121111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10112002121111 is a deficient number, since it is larger than the sum of its proper divisors (1578017411689).

10112002121111 is a wasteful number, since it uses less digits than its factorization.

10112002121111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11975.

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

Adding to 10112002121111 its reverse (11112120021101), we get a palindrome (21224122142212).

The spelling of 10112002121111 in words is "ten trillion, one hundred twelve billion, two million, one hundred twenty-one thousand, one hundred eleven".