10022001100101 has 12 divisors (see below), whose sum is σ = 14659467151680. Its totient is φ = 6596760217320.

The previous prime is 10022001100079. The next prime is 10022001100117. The reversal of 10022001100101 is 10100110022001.

It is a happy number.

It is not a de Polignac number, because 10022001100101 - 2¹⁸ = 10022000837957 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022001100171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7047820035 + ... + 7047821456.

It is an arithmetic number, because the mean of its divisors is an integer number (1221622262640).

Almost surely, 2^{10022001100101} is an apocalyptic number.

It is an amenable number.

10022001100101 is a deficient number, since it is larger than the sum of its proper divisors (4637466051579).

10022001100101 is a wasteful number, since it uses less digits than its factorization.

10022001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14095641576 (or 14095641573 counting only the distinct ones).

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

Adding to 10022001100101 its reverse (10100110022001), we get a palindrome (20122111122102).

The spelling of 10022001100101 in words is "ten trillion, twenty-two billion, one million, one hundred thousand, one hundred one".