21001022001101 has 8 divisors (see below), whose sum is σ = 21036960598680. Its totient is φ = 20965094957632.

The previous prime is 21001022001077. The next prime is 21001022001109. The reversal of 21001022001101 is 10110022010012.

It can be written as a sum of positive squares in 4 ways, for example, as 2355457562500 + 18645564438601 = 1534750^2 + 4318051^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21001022001101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001022001109) 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, 753755 + ... + 6524583.

It is an arithmetic number, because the mean of its divisors is an integer number (2629620074835).

Almost surely, 2^{21001022001101} is an apocalyptic number.

It is an amenable number.

21001022001101 is a deficient number, since it is larger than the sum of its proper divisors (35938597579).

21001022001101 is an equidigital number, since it uses as much as digits as its factorization.

21001022001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777055.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21001022001101 its reverse (10110022010012), we get a palindrome (31111044011113).

The spelling of 21001022001101 in words is "twenty-one trillion, one billion, twenty-two million, one thousand, one hundred one".