10022110010101 has 6 divisors (see below), whose sum is σ = 11658372868950. Its totient is φ = 8590380008616.

The previous prime is 10022110010089. The next prime is 10022110010113. The reversal of 10022110010101 is 10101001122001.

It is an interprime number because it is at equal distance from previous prime (10022110010089) and next prime (10022110010113).

It can be written as a sum of positive squares in only one way, i.e., 8649486882001 + 1372623128100 = 2941001^2 + 1171590^2 .

It is not a de Polignac number, because 10022110010101 - 2⁷ = 10022110009973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022110010191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102266428626 + ... + 102266428723.

It is an arithmetic number, because the mean of its divisors is an integer number (1943062144825).

Almost surely, 2^{10022110010101} is an apocalyptic number.

It is an amenable number.

10022110010101 is a deficient number, since it is larger than the sum of its proper divisors (1636262858849).

10022110010101 is an equidigital number, since it uses as much as digits as its factorization.

10022110010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204532857363 (or 204532857356 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10022110010101 its reverse (10101001122001), we get a palindrome (20123111132102).

The spelling of 10022110010101 in words is "ten trillion, twenty-two billion, one hundred ten million, ten thousand, one hundred one".