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101221010021 is a prime number
BaseRepresentation
bin101111001000100111…
…1100000101001100101
3100200021021012002010002
41132101033200221211
53124300034310041
6114300021311045
710212231250325
oct1362117405145
9320237162102
10101221010021
1139a22691a9a
121774a865485
13971177bc91
144c8329d285
15297652559b
hex17913e0a65

101221010021 has 2 divisors, whose sum is σ = 101221010022. Its totient is φ = 101221010020.

The previous prime is 101221009931. The next prime is 101221010027. The reversal of 101221010021 is 120010122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97522545796 + 3698464225 = 312286^2 + 60815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101221010021 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101221009984 and 101221010011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221010027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610505010 + 50610505011.

It is an arithmetic number, because the mean of its divisors is an integer number (50610505011).

Almost surely, 2101221010021 is an apocalyptic number.

It is an amenable number.

101221010021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221010021 is an equidigital number, since it uses as much as digits as its factorization.

101221010021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101221010021 its reverse (120010122101), we get a palindrome (221231132122).

It can be divided in two parts, 101 and 221010021, that added together give a palindrome (221010122).

The spelling of 101221010021 in words is "one hundred one billion, two hundred twenty-one million, ten thousand, twenty-one".