21201100010101 has 16 divisors (see below), whose sum is σ = 23140078007040. Its totient is φ = 19264057600320.

The previous prime is 21201100010059. The next prime is 21201100010117. The reversal of 21201100010101 is 10101000110212.

It is a cyclic number.

It is not a de Polignac number, because 21201100010101 - 2²¹ = 21201097912949 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 (21201100010191) 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, 421191531 + ... + 421241863.

It is an arithmetic number, because the mean of its divisors is an integer number (1446254875440).

Almost surely, 2^{21201100010101} is an apocalyptic number.

It is an amenable number.

21201100010101 is a deficient number, since it is larger than the sum of its proper divisors (1938977996939).

21201100010101 is a wasteful number, since it uses less digits than its factorization.

21201100010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68796.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21201100010101 its reverse (10101000110212), we get a palindrome (31302100120313).

The spelling of 21201100010101 in words is "twenty-one trillion, two hundred one billion, one hundred million, ten thousand, one hundred one".