101010012210001 has 2 divisors, whose sum is σ = 101010012210002. Its totient is φ = 101010012210000.

The previous prime is 101010012209987. The next prime is 101010012210011. The reversal of 101010012210001 is 100012210010101.

It is an a-pointer prime, because the next prime (101010012210011) can be obtained adding 101010012210001 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78289298319376 + 22720713890625 = 8848124^2 + 4766625^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010012210001 - 2²⁹ = 101009475339089 is a prime.

It is a super-2 number, since 2×101010012210001² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101010012210001.

It is not a weakly prime, because it can be changed into another prime (101010012210011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505006105000 + 50505006105001.

It is an arithmetic number, because the mean of its divisors is an integer number (50505006105001).

Almost surely, 2^{101010012210001} is an apocalyptic number.

It is an amenable number.

101010012210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010012210001 is an equidigital number, since it uses as much as digits as its factorization.

101010012210001 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 10.

Adding to 101010012210001 its reverse (100012210010101), we get a palindrome (201022222220102).

The spelling of 101010012210001 in words is "one hundred one trillion, ten billion, twelve million, two hundred ten thousand, one".