10101022100001 has 48 divisors (see below), whose sum is σ = 16769739866880. Its totient is φ = 5739205104000.

The previous prime is 10101022099991. The next prime is 10101022100009. The reversal of 10101022100001 is 10000122010101.

It is a happy number.

10101022100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101022100001 - 2⁶ = 10101022099937 is a prime.

It is a super-2 number, since 2×10101022100001² (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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10101022100009) 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, 7480251 + ... + 8726751.

It is an arithmetic number, because the mean of its divisors is an integer number (349369580560).

Almost surely, 2^{10101022100001} is an apocalyptic number.

It is an amenable number.

10101022100001 is a deficient number, since it is larger than the sum of its proper divisors (6668717766879).

10101022100001 is a wasteful number, since it uses less digits than its factorization.

10101022100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247246 (or 1247243 counting only the distinct ones).

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

Adding to 10101022100001 its reverse (10000122010101), we get a palindrome (20101144110102).

The spelling of 10101022100001 in words is "ten trillion, one hundred one billion, twenty-two million, one hundred thousand, one".