210010202100101 has 8 divisors (see below), whose sum is σ = 226609164733560. Its totient is φ = 193474715424192.

The previous prime is 210010202100067. The next prime is 210010202100113. The reversal of 210010202100101 is 101001202010012.

It can be written as a sum of positive squares in 4 ways, for example, as 93723116344900 + 116287085755201 = 9681070^2 + 10783649^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-210010202100101 is a prime.

It is a super-2 number, since 2×210010202100101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210010202103101) 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, 15868982510 + ... + 15868995743.

It is an arithmetic number, because the mean of its divisors is an integer number (28326145591695).

Almost surely, 2^{210010202100101} is an apocalyptic number.

It is an amenable number.

210010202100101 is a deficient number, since it is larger than the sum of its proper divisors (16598962633459).

210010202100101 is a wasteful number, since it uses less digits than its factorization.

210010202100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31737978775.

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

Adding to 210010202100101 its reverse (101001202010012), we get a palindrome (311011404110113).

The spelling of 210010202100101 in words is "two hundred ten trillion, ten billion, two hundred two million, one hundred thousand, one hundred one".