101012110001 has 16 divisors (see below), whose sum is σ = 111537822528. Its totient is φ = 90714312000.

The previous prime is 101012109997. The next prime is 101012110007. The reversal of 101012110001 is 100011210101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101012110001 - 2² = 101012109997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101012110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389555 + ... + 594791.

It is an arithmetic number, because the mean of its divisors is an integer number (6971113908).

Almost surely, 2^101012110001 is an apocalyptic number.

101012110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012110001 is a deficient number, since it is larger than the sum of its proper divisors (10525712527).

101012110001 is a wasteful number, since it uses less digits than its factorization.

101012110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205792.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101012110001 its reverse (100011210101), we get a palindrome (201023320102).

The spelling of 101012110001 in words is "one hundred one billion, twelve million, one hundred ten thousand, one".