21121100102001 has 32 divisors (see below), whose sum is σ = 29659473930240. Its totient is φ = 13343471856000.

The previous prime is 21121100101999. The next prime is 21121100102029. The reversal of 21121100102001 is 10020100112112.

It is not a de Polignac number, because 21121100102001 - 2¹ = 21121100101999 is a prime.

It is a super-2 number, since 2×21121100102001² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21121100102051) 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, 3488460 + ... + 7376418.

It is an arithmetic number, because the mean of its divisors is an integer number (926858560320).

Almost surely, 2^{21121100102001} is an apocalyptic number.

It is an amenable number.

21121100102001 is a deficient number, since it is larger than the sum of its proper divisors (8538373828239).

21121100102001 is a wasteful number, since it uses less digits than its factorization.

21121100102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888717.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21121100102001 its reverse (10020100112112), we get a palindrome (31141200214113).

The spelling of 21121100102001 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred million, one hundred two thousand, one".