21011101201001 has 64 divisors (see below), whose sum is σ = 22877461670400. Its totient is φ = 19257792153600.

The previous prime is 21011101200997. The next prime is 21011101201021. The reversal of 21011101201001 is 10010210111012.

It is not a de Polignac number, because 21011101201001 - 2² = 21011101200997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21011101201021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4255841405 + ... + 4255846341.

It is an arithmetic number, because the mean of its divisors is an integer number (357460338600).

Almost surely, 2^{21011101201001} is an apocalyptic number.

It is an amenable number.

21011101201001 is a deficient number, since it is larger than the sum of its proper divisors (1866360469399).

21011101201001 is a wasteful number, since it uses less digits than its factorization.

21011101201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5810.

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

Adding to 21011101201001 its reverse (10010210111012), we get a palindrome (31021311312013).

The spelling of 21011101201001 in words is "twenty-one trillion, eleven billion, one hundred one million, two hundred one thousand, one".