Search a number
-
+
2100121002169 is a prime number
BaseRepresentation
bin11110100011111000111…
…101110110000010111001
321102202210001011201222121
4132203320331312002321
5233402021434032134
64244440545321241
7304504645660411
oct36437075660271
97382701151877
102100121002169
1173a724612683
1229b026336221
1312306b15bc18
1473909a0b641
1539967b69ab4
hex1e8f8f760b9

2100121002169 has 2 divisors, whose sum is σ = 2100121002170. Its totient is φ = 2100121002168.

The previous prime is 2100121002167. The next prime is 2100121002227. The reversal of 2100121002169 is 9612001210012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2085843620025 + 14277382144 = 1444245^2 + 119488^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100121002169 - 21 = 2100121002167 is a prime.

It is a super-2 number, since 2×21001210021692 (a number of 25 digits) contains 22 as substring.

Together with 2100121002167, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2100121002167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050060501084 + 1050060501085.

It is an arithmetic number, because the mean of its divisors is an integer number (1050060501085).

Almost surely, 22100121002169 is an apocalyptic number.

It is an amenable number.

2100121002169 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100121002169 is an equidigital number, since it uses as much as digits as its factorization.

2100121002169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 2100121002169 in words is "two trillion, one hundred billion, one hundred twenty-one million, two thousand, one hundred sixty-nine".