10001100022101 has 48 divisors (see below), whose sum is σ = 14875200692352. Its totient is φ = 6472116892800.

The previous prime is 10001100022099. The next prime is 10001100022103. The reversal of 10001100022101 is 10122000110001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10001100022099) and next prime (10001100022103).

It is not a de Polignac number, because 10001100022101 - 2¹ = 10001100022099 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 (10001100022103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53508631 + ... + 53695211.

It is an arithmetic number, because the mean of its divisors is an integer number (309900014424).

Almost surely, 2^{10001100022101} is an apocalyptic number.

It is an amenable number.

10001100022101 is a deficient number, since it is larger than the sum of its proper divisors (4874100670251).

10001100022101 is a wasteful number, since it uses less digits than its factorization.

10001100022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187834 (or 187831 counting only the distinct ones).

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

Adding to 10001100022101 its reverse (10122000110001), we get a palindrome (20123100132102).

The spelling of 10001100022101 in words is "ten trillion, one billion, one hundred million, twenty-two thousand, one hundred one".