10001001101211 has 32 divisors (see below), whose sum is σ = 14855508033600. Its totient is φ = 6649692122880.

The previous prime is 10001001101153. The next prime is 10001001101233. The reversal of 10001001101211 is 11210110010001.

It is not a de Polignac number, because 10001001101211 - 2²³ = 10000992712603 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001001101193 and 10001001101202.

It is not an unprimeable number, because it can be changed into a prime (10001001101911) 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, 183743781 + ... + 183798201.

It is an arithmetic number, because the mean of its divisors is an integer number (464234626050).

Almost surely, 2^{10001001101211} is an apocalyptic number.

10001001101211 is a deficient number, since it is larger than the sum of its proper divisors (4854506932389).

10001001101211 is a wasteful number, since it uses less digits than its factorization.

10001001101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72316 (or 72310 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10001001101211 its reverse (11210110010001), we get a palindrome (21211111111212).

The spelling of 10001001101211 in words is "ten trillion, one billion, one million, one hundred one thousand, two hundred eleven".