21001002121101 has 8 divisors (see below), whose sum is σ = 28002669578944. Its totient is φ = 14000001372000.

The previous prime is 21001002121051. The next prime is 21001002121111. The reversal of 21001002121101 is 10112120010012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21001002121101 - 2²⁶ = 21000935012237 is a prime.

It is a Duffinian number.

21001002121101 is a modest number, since divided by 2121101 gives 210010 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001002121111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166603681 + ... + 166729686.

It is an arithmetic number, because the mean of its divisors is an integer number (3500333697368).

Almost surely, 2^{21001002121101} is an apocalyptic number.

It is an amenable number.

21001002121101 is a deficient number, since it is larger than the sum of its proper divisors (7001667457843).

21001002121101 is a wasteful number, since it uses less digits than its factorization.

21001002121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333354371.

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

Adding to 21001002121101 its reverse (10112120010012), we get a palindrome (31113122131113).

The spelling of 21001002121101 in words is "twenty-one trillion, one billion, two million, one hundred twenty-one thousand, one hundred one".