10002100201001 has 16 divisors (see below), whose sum is σ = 10791709346304. Its totient is φ = 9234899291904.

The previous prime is 10002100200991. The next prime is 10002100201039. The reversal of 10002100201001 is 10010200120001.

It is not a de Polignac number, because 10002100201001 - 2¹⁴ = 10002100184617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002100201001.

It is not an unprimeable number, because it can be changed into a prime (10002100201091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6100310 + ... + 7564256.

It is an arithmetic number, because the mean of its divisors is an integer number (674481834144).

Almost surely, 2^{10002100201001} is an apocalyptic number.

It is an amenable number.

10002100201001 is a deficient number, since it is larger than the sum of its proper divisors (789609145303).

10002100201001 is a wasteful number, since it uses less digits than its factorization.

10002100201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471600.

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

Adding to 10002100201001 its reverse (10010200120001), we get a palindrome (20012300321002).

The spelling of 10002100201001 in words is "ten trillion, two billion, one hundred million, two hundred one thousand, one".