10002211101 has 16 divisors (see below), whose sum is σ = 15296094720. Its totient is φ = 6453038880.

The previous prime is 10002211081. The next prime is 10002211139. The reversal of 10002211101 is 10111220001.

It is a happy number.

It is not a de Polignac number, because 10002211101 - 2⁷ = 10002210973 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 (10002211151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5974200 + ... + 5975873.

It is an arithmetic number, because the mean of its divisors is an integer number (956005920).

Almost surely, 2^10002211101 is an apocalyptic number.

It is an amenable number.

10002211101 is a deficient number, since it is larger than the sum of its proper divisors (5293883619).

10002211101 is a wasteful number, since it uses less digits than its factorization.

10002211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11950113 (or 11950107 counting only the distinct ones).

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

Adding to 10002211101 its reverse (10111220001), we get a palindrome (20113431102).

The spelling of 10002211101 in words is "ten billion, two million, two hundred eleven thousand, one hundred one".