10112122121101 has 144 divisors (see below), whose sum is σ = 14004158974848. Its totient is φ = 7050945024000.

The previous prime is 10112122121099. The next prime is 10112122121113.

10112122121101 is nontrivially palindromic in base 10.

10112122121101 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 10112122121101 - 2¹ = 10112122121099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112122121131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73811110305 + ... + 73811110441.

It is an arithmetic number, because the mean of its divisors is an integer number (97251103992).

Almost surely, 2^{10112122121101} is an apocalyptic number.

10112122121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112122121101 is a deficient number, since it is larger than the sum of its proper divisors (3892036853747).

10112122121101 is a wasteful number, since it uses less digits than its factorization.

10112122121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

It can be divided in two parts, 1011212 and 2121101, that added together give a palindrome (3132313).

The spelling of 10112122121101 in words is "ten trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred one".