21101120101 has 2 divisors, whose sum is σ = 21101120102. Its totient is φ = 21101120100.

The previous prime is 21101120059. The next prime is 21101120113. The reversal of 21101120101 is 10102110112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20291717601 + 809402500 = 142449^2 + 28450^2 .

It is a cyclic number.

It is not a de Polignac number, because 21101120101 - 2²³ = 21092731493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21101120801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550560050 + 10550560051.

It is an arithmetic number, because the mean of its divisors is an integer number (10550560051).

Almost surely, 2^21101120101 is an apocalyptic number.

It is an amenable number.

21101120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101120101 is an equidigital number, since it uses as much as digits as its factorization.

21101120101 is an evil number, because the sum of its binary digits is even.

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

Adding to 21101120101 its reverse (10102110112), we get a palindrome (31203230213).

It can be divided in two parts, 2110 and 1120101, that added together give a palindrome (1122211).

The spelling of 21101120101 in words is "twenty-one billion, one hundred one million, one hundred twenty thousand, one hundred one".