10001000210101 has 32 divisors (see below), whose sum is σ = 10150655477760. Its totient is φ = 9852959880000.

The previous prime is 10001000210039. The next prime is 10001000210107. The reversal of 10001000210101 is 10101200010001.

It is a cyclic number.

It is not a de Polignac number, because 10001000210101 - 2¹⁷ = 10001000079029 is a prime.

It is a super-2 number, since 2×10001000210101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001000210107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14105782735 + ... + 14105783443.

It is an arithmetic number, because the mean of its divisors is an integer number (317207983680).

Almost surely, 2^{10001000210101} is an apocalyptic number.

It is an amenable number.

10001000210101 is a deficient number, since it is larger than the sum of its proper divisors (149655267659).

10001000210101 is a wasteful number, since it uses less digits than its factorization.

10001000210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10001000210101 its reverse (10101200010001), we get a palindrome (20102200220102).

The spelling of 10001000210101 in words is "ten trillion, one billion, two hundred ten thousand, one hundred one".