101000002212001 has 8 divisors (see below), whose sum is σ = 103397262546024. Its totient is φ = 98630139139200.

The previous prime is 101000002211939. The next prime is 101000002212007. The reversal of 101000002212001 is 100212200000101.

It can be written as a sum of positive squares in 4 ways, for example, as 57065575038976 + 43934427173025 = 7554176^2 + 6628305^2 .

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 101000002212001 - 2⁹ = 101000002211489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000002212007) 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, 6849307846 + ... + 6849322591.

It is an arithmetic number, because the mean of its divisors is an integer number (12924657818253).

Almost surely, 2^{101000002212001} is an apocalyptic number.

It is an amenable number.

101000002212001 is a deficient number, since it is larger than the sum of its proper divisors (2397260334023).

101000002212001 is a wasteful number, since it uses less digits than its factorization.

101000002212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13698630611.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101000002212001 its reverse (100212200000101), we get a palindrome (201212202212102).

The spelling of 101000002212001 in words is "one hundred one trillion, two million, two hundred twelve thousand, one".