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1011111010001 is a prime number
BaseRepresentation
bin11101011011010101110…
…10011001111011010001
310120122212001202012210222
432231222322121323101
5113031223404310001
62052255322002425
7133023162531131
oct16555272317321
93518761665728
101011111010001
1135a89a895194
12143b63046415
13744691c0181
1436d1bd72ac1
151b47be3261b
hexeb6ae99ed1

1011111010001 has 2 divisors, whose sum is σ = 1011111010002. Its totient is φ = 1011111010000.

The previous prime is 1011111009973. The next prime is 1011111010051. The reversal of 1011111010001 is 1000101111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 930599784976 + 80511225025 = 964676^2 + 283745^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1011111010001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011111010051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505555505000 + 505555505001.

It is an arithmetic number, because the mean of its divisors is an integer number (505555505001).

Almost surely, 21011111010001 is an apocalyptic number.

It is an amenable number.

1011111010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011111010001 is an equidigital number, since it uses as much as digits as its factorization.

1011111010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1011111010001 its reverse (1000101111101), we get a palindrome (2011212121102).

The spelling of 1011111010001 in words is "one trillion, eleven billion, one hundred eleven million, ten thousand, one".