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10102219901 is a prime number
BaseRepresentation
bin10010110100010001…
…11010010001111101
3222002001002221110122
421122020322101331
5131142132014101
64350233344325
7505225311104
oct113210722175
928061087418
1010102219901
114314492374
121b5b2680a5
13c4cc2a517
146bb97103b
153e1d5051b
hex25a23a47d

10102219901 has 2 divisors, whose sum is σ = 10102219902. Its totient is φ = 10102219900.

The previous prime is 10102219871. The next prime is 10102219937. The reversal of 10102219901 is 10991220101.

10102219901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10100451001 + 1768900 = 100501^2 + 1330^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102219901 - 26 = 10102219837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10104219901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051109950 + 5051109951.

It is an arithmetic number, because the mean of its divisors is an integer number (5051109951).

Almost surely, 210102219901 is an apocalyptic number.

It is an amenable number.

10102219901 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102219901 is an equidigital number, since it uses as much as digits as its factorization.

10102219901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 10102219901 in words is "ten billion, one hundred two million, two hundred nineteen thousand, nine hundred one".