4100001001011 has 24 divisors (see below), whose sum is σ = 6234466272320. Its totient is φ = 2589247258416.

The previous prime is 4100001001003. The next prime is 4100001001037. The reversal of 4100001001011 is 1101001000014.

It is not a de Polignac number, because 4100001001011 - 2³ = 4100001001003 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4100001000984 and 4100001001002.

It is not an unprimeable number, because it can be changed into a prime (4100001011011) 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, 915396 + ... + 3006318.

Almost surely, 2^{4100001001011} is an apocalyptic number.

4100001001011 is a deficient number, since it is larger than the sum of its proper divisors (2134465271309).

4100001001011 is a wasteful number, since it uses less digits than its factorization.

4100001001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102415 (or 2102412 counting only the distinct ones).

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

Adding to 4100001001011 its reverse (1101001000014), we get a palindrome (5201002001025).

The spelling of 4100001001011 in words is "four trillion, one hundred billion, one million, one thousand, eleven".