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101111001001601 is a prime number
BaseRepresentation
bin10110111111010110111101…
…010011000010111010000001
3111021000010011111201002012012
4112333112331103002322001
5101223100312224022401
6555013430321542305
730204012601633613
oct2677267523027201
9437003144632165
10101111001001601
112a242a3111a528
12b40bba57a4995
13445595a109706
15ba51e0e5b8bb
hex5bf5bd4c2e81

101111001001601 has 2 divisors, whose sum is σ = 101111001001602. Its totient is φ = 101111001001600.

The previous prime is 101111001001547. The next prime is 101111001001639. The reversal of 101111001001601 is 106100100111101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100974382057201 + 136618944400 = 10048601^2 + 369620^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111001001601 - 214 = 101111000985217 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111001061601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500500800 + 50555500500801.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500500801).

Almost surely, 2101111001001601 is an apocalyptic number.

It is an amenable number.

101111001001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111001001601 is an equidigital number, since it uses as much as digits as its factorization.

101111001001601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 101111001001601 its reverse (106100100111101), we get a palindrome (207211101112702).

The spelling of 101111001001601 in words is "one hundred one trillion, one hundred eleven billion, one million, one thousand, six hundred one".