10112002101 has 12 divisors (see below), whose sum is σ = 15465415212. Its totient is φ = 6344785536.

The previous prime is 10112002081. The next prime is 10112002139. The reversal of 10112002101 is 10120021101.

It is a happy number.

10112002101 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2711701476 + 7400300625 = 52074^2 + 86025^2 .

It is not a de Polignac number, because 10112002101 - 2⁶ = 10112002037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33045606 + ... + 33045911.

It is an arithmetic number, because the mean of its divisors is an integer number (1288784601).

Almost surely, 2^10112002101 is an apocalyptic number.

It is an amenable number.

10112002101 is a deficient number, since it is larger than the sum of its proper divisors (5353413111).

10112002101 is a wasteful number, since it uses less digits than its factorization.

10112002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66091540 (or 66091537 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10112002101 its reverse (10120021101), we get a palindrome (20232023202).

The spelling of 10112002101 in words is "ten billion, one hundred twelve million, two thousand, one hundred one".