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200021012101 is a prime number
BaseRepresentation
bin1011101001001000101…
…1100110111010000101
3201010021210211012200101
42322102023212322011
511234120334341401
6231515520244101
720310464356531
oct2722213467205
9633253735611
10200021012101
1177912712979
1232922770631
1315b28798181
149976bd0bc1
15530a225101
hex2e922e6e85

200021012101 has 2 divisors, whose sum is σ = 200021012102. Its totient is φ = 200021012100.

The previous prime is 200021012077. The next prime is 200021012123. The reversal of 200021012101 is 101210120002.

200021012101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168285371076 + 31735641025 = 410226^2 + 178145^2 .

It is a cyclic number.

It is not a de Polignac number, because 200021012101 - 25 = 200021012069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200021012131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100010506050 + 100010506051.

It is an arithmetic number, because the mean of its divisors is an integer number (100010506051).

Almost surely, 2200021012101 is an apocalyptic number.

It is an amenable number.

200021012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200021012101 is an equidigital number, since it uses as much as digits as its factorization.

200021012101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200021012101 its reverse (101210120002), we get a palindrome (301231132103).

It can be divided in two parts, 20002 and 1012101, that multiplied together give a palindrome (20244044202).

The spelling of 200021012101 in words is "two hundred billion, twenty-one million, twelve thousand, one hundred one".