10000022010101 has 2 divisors, whose sum is σ = 10000022010102. Its totient is φ = 10000022010100.

The previous prime is 10000022010029. The next prime is 10000022010197. The reversal of 10000022010101 is 10101022000001.

10000022010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6115184952100 + 3884837058001 = 2472890^2 + 1970999^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000022010101 - 2³⁰ = 9998948268277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000022010701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000011005050 + 5000011005051.

It is an arithmetic number, because the mean of its divisors is an integer number (5000011005051).

Almost surely, 2^{10000022010101} is an apocalyptic number.

It is an amenable number.

10000022010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000022010101 is an equidigital number, since it uses as much as digits as its factorization.

10000022010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000022010101 its reverse (10101022000001), we get a palindrome (20101044010102).

It can be divided in two parts, 1000002 and 2010101, that added together give a palindrome (3010103).

The spelling of 10000022010101 in words is "ten trillion, twenty-two million, ten thousand, one hundred one".