10000101212001 has 16 divisors (see below), whose sum is σ = 14815054480320. Its totient is φ = 6666693766560.

The previous prime is 10000101211967. The next prime is 10000101212011. The reversal of 10000101212001 is 10021210100001.

It is a happy number.

It is not a de Polignac number, because 10000101212001 - 2¹⁷ = 10000101080929 is a prime.

It is a super-3 number, since 3×10000101212001³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10000101212011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3814261 + ... + 5877821.

It is an arithmetic number, because the mean of its divisors is an integer number (925940905020).

Almost surely, 2^{10000101212001} is an apocalyptic number.

It is an amenable number.

10000101212001 is a deficient number, since it is larger than the sum of its proper divisors (4814953268319).

10000101212001 is a wasteful number, since it uses less digits than its factorization.

10000101212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243053 (or 2243047 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000101212001 its reverse (10021210100001), we get a palindrome (20021311312002).

The spelling of 10000101212001 in words is "ten trillion, one hundred one million, two hundred twelve thousand, one".