10101111000001 has 16 divisors (see below), whose sum is σ = 11779858742400. Its totient is φ = 8657994110640.

The previous prime is 10101110999843. The next prime is 10101111000023. The reversal of 10101111000001 is 10000011110101.

It is a happy number.

It is not a de Polignac number, because 10101111000001 - 2¹³ = 10101110991809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (10101111004001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55891155 + ... + 56071591.

It is an arithmetic number, because the mean of its divisors is an integer number (736241171400).

Almost surely, 2^{10101111000001} is an apocalyptic number.

It is an amenable number.

10101111000001 is a deficient number, since it is larger than the sum of its proper divisors (1678747742399).

10101111000001 is an equidigital number, since it uses as much as digits as its factorization.

10101111000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343669 (or 343655 counting only the distinct ones).

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

Adding to 10101111000001 its reverse (10000011110101), we get a palindrome (20101122110102).

The spelling of 10101111000001 in words is "ten trillion, one hundred one billion, one hundred eleven million, one", and thus it is an aban number.