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100210101211993 is a prime number
BaseRepresentation
bin10110110010001111111011…
…011111000101001101011001
3111010210222210020210221122211
4112302033323133011031121
5101113320241402240433
6553043515052515121
730051640504032013
oct2662177337051531
9433728706727584
10100210101211993
1129a25957731463
12b2a548017baa1
1343bba060cb926
141aa62a26811b3
15b8ba649458cd
hex5b23fb7c5359

100210101211993 has 2 divisors, whose sum is σ = 100210101211994. Its totient is φ = 100210101211992.

The previous prime is 100210101211991. The next prime is 100210101212131. The reversal of 100210101211993 is 399112101012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99830531859529 + 379569352464 = 9991523^2 + 616092^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210101211993 - 21 = 100210101211991 is a prime.

Together with 100210101211991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100210101211991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105050605996 + 50105050605997.

It is an arithmetic number, because the mean of its divisors is an integer number (50105050605997).

Almost surely, 2100210101211993 is an apocalyptic number.

It is an amenable number.

100210101211993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210101211993 is an equidigital number, since it uses as much as digits as its factorization.

100210101211993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 31.

Adding to 100210101211993 its reverse (399112101012001), we get a palindrome (499322202223994).

The spelling of 100210101211993 in words is "one hundred trillion, two hundred ten billion, one hundred one million, two hundred eleven thousand, nine hundred ninety-three".