210100022010101 has 8 divisors (see below), whose sum is σ = 210268877880600. Its totient is φ = 209931175229440.

The previous prime is 210100022010061. The next prime is 210100022010119. The reversal of 210100022010101 is 101010220001012.

It can be written as a sum of positive squares in 4 ways, for example, as 114100295787076 + 95999726223025 = 10681774^2 + 9797945^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 210100022010101 - 2¹⁴ = 210100021993717 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 (210100022010181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44357795 + ... + 48865263.

It is an arithmetic number, because the mean of its divisors is an integer number (26283609735075).

Almost surely, 2^{210100022010101} is an apocalyptic number.

It is an amenable number.

210100022010101 is a deficient number, since it is larger than the sum of its proper divisors (168855870499).

210100022010101 is a wasteful number, since it uses less digits than its factorization.

210100022010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544919.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 210100022010101 its reverse (101010220001012), we get a palindrome (311110242011113).

The spelling of 210100022010101 in words is "two hundred ten trillion, one hundred billion, twenty-two million, ten thousand, one hundred one".