101011100012021 has 2 divisors, whose sum is σ = 101011100012022. Its totient is φ = 101011100012020.

The previous prime is 101011100011999. The next prime is 101011100012029. The reversal of 101011100012021 is 120210001110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101007826570225 + 3273441796 = 10050265^2 + 57214^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011100012021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011100011993 and 101011100012011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011100012029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505550006010 + 50505550006011.

It is an arithmetic number, because the mean of its divisors is an integer number (50505550006011).

Almost surely, 2^{101011100012021} is an apocalyptic number.

It is an amenable number.

101011100012021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011100012021 is an equidigital number, since it uses as much as digits as its factorization.

101011100012021 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 11.

Adding to 101011100012021 its reverse (120210001110101), we get a palindrome (221221101122122).

The spelling of 101011100012021 in words is "one hundred one trillion, eleven billion, one hundred million, twelve thousand, twenty-one".