10100200010001 has 32 divisors (see below), whose sum is σ = 14492838971520. Its totient is φ = 6234154450944.

The previous prime is 10100200009973. The next prime is 10100200010041. The reversal of 10100200010001 is 10001000200101.

It is not a de Polignac number, because 10100200010001 - 2⁵ = 10100200009969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100200010041) 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, 4134016 + ... + 6106593.

It is an arithmetic number, because the mean of its divisors is an integer number (452901217860).

Almost surely, 2^{10100200010001} is an apocalyptic number.

It is an amenable number.

10100200010001 is a deficient number, since it is larger than the sum of its proper divisors (4392638961519).

10100200010001 is a wasteful number, since it uses less digits than its factorization.

10100200010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10240945.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100200010001 its reverse (10001000200101), we get a palindrome (20101200210102).

The spelling of 10100200010001 in words is "ten trillion, one hundred billion, two hundred million, ten thousand, one".