1001211112001 has 16 divisors (see below), whose sum is σ = 1010815303680. Its totient is φ = 991635558480.

The previous prime is 1001211111959. The next prime is 1001211112009. The reversal of 1001211112001 is 1002111121001.

It is a cyclic number.

It is not a de Polignac number, because 1001211112001 - 2²⁶ = 1001144003137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001211112009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237758786 + ... + 237762996.

It is an arithmetic number, because the mean of its divisors is an integer number (63175956480).

Almost surely, 2^{1001211112001} is an apocalyptic number.

It is an amenable number.

1001211112001 is a deficient number, since it is larger than the sum of its proper divisors (9604191679).

1001211112001 is a wasteful number, since it uses less digits than its factorization.

1001211112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7084.

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

Adding to 1001211112001 its reverse (1002111121001), we get a palindrome (2003322233002).

The spelling of 1001211112001 in words is "one trillion, one billion, two hundred eleven million, one hundred twelve thousand, one".