10211202105 has 64 divisors (see below), whose sum is σ = 17797570560. Its totient is φ = 4969440000.

The previous prime is 10211202083. The next prime is 10211202109. The reversal of 10211202105 is 50120211201.

It is not a de Polignac number, because 10211202105 - 2⁸ = 10211201849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10211202109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7036630 + ... + 7038080.

It is an arithmetic number, because the mean of its divisors is an integer number (278087040).

Almost surely, 2^10211202105 is an apocalyptic number.

10211202105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10211202105 is a deficient number, since it is larger than the sum of its proper divisors (7586368455).

10211202105 is a wasteful number, since it uses less digits than its factorization.

10211202105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10211202105 its reverse (50120211201), we get a palindrome (60331413306).

The spelling of 10211202105 in words is "ten billion, two hundred eleven million, two hundred two thousand, one hundred five".