10001120101211 has 8 divisors (see below), whose sum is σ = 10533698468880. Its totient is φ = 9469162096128.

The previous prime is 10001120101169. The next prime is 10001120101237. The reversal of 10001120101211 is 11210102110001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001120101211 - 2²² = 10001115906907 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001120101192 and 10001120101201.

It is not an unprimeable number, because it can be changed into a prime (10001120101711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155057546 + ... + 155122031.

It is an arithmetic number, because the mean of its divisors is an integer number (1316712308610).

Almost surely, 2^{10001120101211} is an apocalyptic number.

10001120101211 is a deficient number, since it is larger than the sum of its proper divisors (532578367669).

10001120101211 is a wasteful number, since it uses less digits than its factorization.

10001120101211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310181293.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10001120101211 its reverse (11210102110001), we get a palindrome (21211222211212).

The spelling of 10001120101211 in words is "ten trillion, one billion, one hundred twenty million, one hundred one thousand, two hundred eleven".