10202111007 has 32 divisors (see below), whose sum is σ = 15034225920. Its totient is φ = 6153285600.

The previous prime is 10202110979. The next prime is 10202111063. The reversal of 10202111007 is 70011120201.

10202111007 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 10202111007 - 2²⁴ = 10185333791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202111107) 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 31 ways as a sum of consecutive naturals, for example, 836469 + ... + 848577.

It is an arithmetic number, because the mean of its divisors is an integer number (469819560).

Almost surely, 2^10202111007 is an apocalyptic number.

10202111007 is a deficient number, since it is larger than the sum of its proper divisors (4832114913).

10202111007 is a wasteful number, since it uses less digits than its factorization.

10202111007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12356 (or 12334 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 10202111007 its reverse (70011120201), we get a palindrome (80213231208).

The spelling of 10202111007 in words is "ten billion, two hundred two million, one hundred eleven thousand, seven".