21112100010101 has 4 divisors (see below), whose sum is σ = 21155451345312. Its totient is φ = 21068748674892.

The previous prime is 21112100010091. The next prime is 21112100010103. The reversal of 21112100010101 is 10101000121112.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21112100010101 is a prime.

It is a super-3 number, since 3×21112100010101³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112100010103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21675666875 + ... + 21675667848.

It is an arithmetic number, because the mean of its divisors is an integer number (5288862836328).

Almost surely, 2^{21112100010101} is an apocalyptic number.

It is an amenable number.

21112100010101 is a deficient number, since it is larger than the sum of its proper divisors (43351335211).

21112100010101 is an equidigital number, since it uses as much as digits as its factorization.

21112100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43351335210.

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

Adding to 21112100010101 its reverse (10101000121112), we get a palindrome (31213100131213).

The spelling of 21112100010101 in words is "twenty-one trillion, one hundred twelve billion, one hundred million, ten thousand, one hundred one".