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2100022022401 is a prime number
BaseRepresentation
bin11110100011110011000…
…100010001000100000001
321102202112010221001021021
4132203303010101010001
5233401321114204101
64244423052025441
7304502334444562
oct36436304210401
97382463831237
102100022022401
1173a683758716
1229abb9162281
131230537b4904
14738da804169
153995e1175a1
hex1e8f3111101

2100022022401 has 2 divisors, whose sum is σ = 2100022022402. Its totient is φ = 2100022022400.

The previous prime is 2100022022323. The next prime is 2100022022411. The reversal of 2100022022401 is 1042202200012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1765706782401 + 334315240000 = 1328799^2 + 578200^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100022022401 - 233 = 2091432087809 is a prime.

It is a super-2 number, since 2×21000220224012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2100022022411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050011011200 + 1050011011201.

It is an arithmetic number, because the mean of its divisors is an integer number (1050011011201).

Almost surely, 22100022022401 is an apocalyptic number.

It is an amenable number.

2100022022401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100022022401 is an equidigital number, since it uses as much as digits as its factorization.

2100022022401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2100022022401 its reverse (1042202200012), we get a palindrome (3142224222413).

The spelling of 2100022022401 in words is "two trillion, one hundred billion, twenty-two million, twenty-two thousand, four hundred one".