10112120002101 has 8 divisors (see below), whose sum is σ = 14519967182560. Its totient is φ = 6222843078192.

The previous prime is 10112120002099. The next prime is 10112120002109. The reversal of 10112120002101 is 10120002121101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10112120002101 - 2¹ = 10112120002099 is a prime.

It is a super-2 number, since 2×10112120002101² (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 (10112120002109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129642564091 + ... + 129642564168.

It is an arithmetic number, because the mean of its divisors is an integer number (1814995897820).

Almost surely, 2^{10112120002101} is an apocalyptic number.

It is an amenable number.

10112120002101 is a deficient number, since it is larger than the sum of its proper divisors (4407847180459).

10112120002101 is a wasteful number, since it uses less digits than its factorization.

10112120002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259285128275.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112120002101 its reverse (10120002121101), we get a palindrome (20232122123202).

The spelling of 10112120002101 in words is "ten trillion, one hundred twelve billion, one hundred twenty million, two thousand, one hundred one".