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100211202100021 is a prime number
BaseRepresentation
bin10110110010010000111101…
…000110101000101100110101
3111010211002121222022212010111
4112302100331012220230311
5101113330020214200041
6553044220220423021
730052010002314055
oct2662207506505465
9433732558285114
10100211202100021
1129a263720a2981
12b2a57289a7a71
1343bbb5020086c
141aa6368971565
15b8bacb404981
hex5b243d1a8b35

100211202100021 has 2 divisors, whose sum is σ = 100211202100022. Its totient is φ = 100211202100020.

The previous prime is 100211202099991. The next prime is 100211202100043. The reversal of 100211202100021 is 120001202112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99935230491121 + 275971608900 = 9996761^2 + 525330^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211202100021 - 217 = 100211201968949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100211202099974 and 100211202100010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100211202100621) 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 as a sum of consecutive naturals, namely, 50105601050010 + 50105601050011.

It is an arithmetic number, because the mean of its divisors is an integer number (50105601050011).

Almost surely, 2100211202100021 is an apocalyptic number.

It is an amenable number.

100211202100021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211202100021 is an equidigital number, since it uses as much as digits as its factorization.

100211202100021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100211202100021 its reverse (120001202112001), we get a palindrome (220212404212022).

The spelling of 100211202100021 in words is "one hundred trillion, two hundred eleven billion, two hundred two million, one hundred thousand, twenty-one".