10001120201001 has 24 divisors (see below), whose sum is σ = 15481561717440. Its totient is φ = 6205160354976.

The previous prime is 10001120200969. The next prime is 10001120201011. The reversal of 10001120201001 is 10010202110001.

It is a happy number.

It is not a de Polignac number, because 10001120201001 - 2⁵ = 10001120200969 is a prime.

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 (10001120201011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652892211 + ... + 652907528.

It is an arithmetic number, because the mean of its divisors is an integer number (645065071560).

Almost surely, 2^{10001120201001} is an apocalyptic number.

It is an amenable number.

10001120201001 is a deficient number, since it is larger than the sum of its proper divisors (5480441516439).

10001120201001 is a wasteful number, since it uses less digits than its factorization.

10001120201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305799805 (or 1305799802 counting only the distinct ones).

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

Adding to 10001120201001 its reverse (10010202110001), we get a palindrome (20011322311002).

The spelling of 10001120201001 in words is "ten trillion, one billion, one hundred twenty million, two hundred one thousand, one".