10100022100101 has 24 divisors (see below), whose sum is σ = 14993486200160. Its totient is φ = 6546875059296.

The previous prime is 10100022100099. The next prime is 10100022100109. The reversal of 10100022100101 is 10100122000101.

It is a happy number.

It is not a de Polignac number, because 10100022100101 - 2¹ = 10100022100099 is a prime.

It is a super-2 number, since 2×10100022100101² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100022100109) 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 23 ways as a sum of consecutive naturals, for example, 9908395 + ... + 10880088.

Almost surely, 2^{10100022100101} is an apocalyptic number.

It is an amenable number.

10100022100101 is a deficient number, since it is larger than the sum of its proper divisors (4893464100059).

10100022100101 is a wasteful number, since it uses less digits than its factorization.

10100022100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20789985 (or 20789982 counting only the distinct ones).

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

Adding to 10100022100101 its reverse (10100122000101), we get a palindrome (20200144100202).

The spelling of 10100022100101 in words is "ten trillion, one hundred billion, twenty-two million, one hundred thousand, one hundred one".