101111100110021 has 2 divisors, whose sum is σ = 101111100110022. Its totient is φ = 101111100110020.

The previous prime is 101111100110003. The next prime is 101111100110129. The reversal of 101111100110021 is 120011001111101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99327235353025 + 1783864756996 = 9966305^2 + 1335614^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111100110021 - 2³⁴ = 101093920240837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111100109984 and 101111100110011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111100140021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555550055010 + 50555550055011.

It is an arithmetic number, because the mean of its divisors is an integer number (50555550055011).

Almost surely, 2^{101111100110021} is an apocalyptic number.

It is an amenable number.

101111100110021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111100110021 is an equidigital number, since it uses as much as digits as its factorization.

101111100110021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101111100110021 its reverse (120011001111101), we get a palindrome (221122101221122).

The spelling of 101111100110021 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, one hundred ten thousand, twenty-one".