101011011000001 has 4 divisors (see below), whose sum is σ = 101011535704404. Its totient is φ = 101010486295600.

The previous prime is 101011010999989. The next prime is 101011011000013. The reversal of 101011011000001 is 100000110110101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (101011010999989) and next prime (101011011000013).

It can be written as a sum of positive squares in 2 ways, for example, as 79621088994225 + 21389922005776 = 8923065^2 + 4624924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011011000001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011011000061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262063330 + ... + 262448491.

It is an arithmetic number, because the mean of its divisors is an integer number (25252883926101).

Almost surely, 2^{101011011000001} is an apocalyptic number.

It is an amenable number.

101011011000001 is a deficient number, since it is larger than the sum of its proper divisors (524704403).

101011011000001 is an equidigital number, since it uses as much as digits as its factorization.

101011011000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524704402.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101011011000001 its reverse (100000110110101), we get a palindrome (201011121110102).

The spelling of 101011011000001 in words is "one hundred one trillion, eleven billion, eleven million, one", and thus it is an aban number.