10001001201111 has 40 divisors (see below), whose sum is σ = 15731995928880. Its totient is φ = 6314041953792.

The previous prime is 10001001201067. The next prime is 10001001201119. The reversal of 10001001201111 is 11110210010001.

It is not a de Polignac number, because 10001001201111 - 2⁴² = 5602954690007 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 = 10001001201093 and 10001001201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001001201119) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2866245 + ... + 5312001.

It is an arithmetic number, because the mean of its divisors is an integer number (393299898222).

Almost surely, 2^{10001001201111} is an apocalyptic number.

10001001201111 is a deficient number, since it is larger than the sum of its proper divisors (5730994727769).

10001001201111 is a wasteful number, since it uses less digits than its factorization.

10001001201111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448445 (or 2448436 counting only the distinct ones).

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

Adding to 10001001201111 its reverse (11110210010001), we get a palindrome (21111211211112).

The spelling of 10001001201111 in words is "ten trillion, one billion, one million, two hundred one thousand, one hundred eleven".