100000212010001 has 8 divisors (see below), whose sum is σ = 105883264253160. Its totient is φ = 94117236081408.

The previous prime is 100000212009961. The next prime is 100000212010033. The reversal of 100000212010001 is 100010212000001.

It can be written as a sum of positive squares in 4 ways, for example, as 22235610166225 + 77764601843776 = 4715465^2 + 8818424^2 .

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-100000212010001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100000212010051) 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, 16369826 + ... + 21632651.

It is an arithmetic number, because the mean of its divisors is an integer number (13235408031645).

Almost surely, 2^{100000212010001} is an apocalyptic number.

It is an amenable number.

100000212010001 is a deficient number, since it is larger than the sum of its proper divisors (5883052243159).

100000212010001 is a wasteful number, since it uses less digits than its factorization.

100000212010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38157283.

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

Adding to 100000212010001 its reverse (100010212000001), we get a palindrome (200010424010002).

The spelling of 100000212010001 in words is "one hundred trillion, two hundred twelve million, ten thousand, one".