Search a number
-
+
100111201000021 is a prime number
BaseRepresentation
bin10110110000110011110100…
…100100101101101001010101
3111010110112111201121121222001
4112300303310210231221111
5101110210214424000041
6552530241214035301
730041536613064421
oct2660636444555125
9433415451547861
10100111201000021
1129997a16086392
12b28a27a7a8b31
1343b25a43c7543
141aa159d705b81
15b891c704e131
hex5b0cf492da55

100111201000021 has 2 divisors, whose sum is σ = 100111201000022. Its totient is φ = 100111201000020.

The previous prime is 100111200999967. The next prime is 100111201000033. The reversal of 100111201000021 is 120000102111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94858074519121 + 5253126480900 = 9739511^2 + 2291970^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100111201000021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111200999971 and 100111201000007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111201000061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055600500010 + 50055600500011.

It is an arithmetic number, because the mean of its divisors is an integer number (50055600500011).

Almost surely, 2100111201000021 is an apocalyptic number.

It is an amenable number.

100111201000021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111201000021 is an equidigital number, since it uses as much as digits as its factorization.

100111201000021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100111201000021 its reverse (120000102111001), we get a palindrome (220111303111022).

The spelling of 100111201000021 in words is "one hundred trillion, one hundred eleven billion, two hundred one million, twenty-one", and thus it is an aban number.