10122202101 has 96 divisors (see below), whose sum is σ = 16611941376. Its totient is φ = 5417280000.

The previous prime is 10122202093. The next prime is 10122202127. The reversal of 10122202101 is 10120222101.

It is not a de Polignac number, because 10122202101 - 2³ = 10122202093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122202001) 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 95 ways as a sum of consecutive naturals, for example, 30580506 + ... + 30580836.

It is an arithmetic number, because the mean of its divisors is an integer number (173041056).

Almost surely, 2^10122202101 is an apocalyptic number.

10122202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122202101 is a deficient number, since it is larger than the sum of its proper divisors (6489739275).

10122202101 is a wasteful number, since it uses less digits than its factorization.

10122202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10122202101 its reverse (10120222101), we get a palindrome (20242424202).

The spelling of 10122202101 in words is "ten billion, one hundred twenty-two million, two hundred two thousand, one hundred one".