Search a number
-
+
100220210211101 is a prime number
BaseRepresentation
bin10110110010011001010110…
…000001110110100100011101
3111010211221212202200022110012
4112302121112001312210131
5101114001442303223401
6553052310131453005
730052446144066431
oct2662312601664435
9433757782608405
10100220210211101
1129a2a174a24082
12b2a7421757165
1343bc9575609c6
141aa69810989c1
15b8be571848bb
hex5b265607691d

100220210211101 has 2 divisors, whose sum is σ = 100220210211102. Its totient is φ = 100220210211100.

The previous prime is 100220210211083. The next prime is 100220210211113. The reversal of 100220210211101 is 101112012022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79631975505625 + 20588234705476 = 8923675^2 + 4537426^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220210211101 - 226 = 100220143102237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100220210211181) 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, 50110105105550 + 50110105105551.

It is an arithmetic number, because the mean of its divisors is an integer number (50110105105551).

Almost surely, 2100220210211101 is an apocalyptic number.

It is an amenable number.

100220210211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220210211101 is an equidigital number, since it uses as much as digits as its factorization.

100220210211101 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 14.

Adding to 100220210211101 its reverse (101112012022001), we get a palindrome (201332222233102).

The spelling of 100220210211101 in words is "one hundred trillion, two hundred twenty billion, two hundred ten million, two hundred eleven thousand, one hundred one".