101011000100001 has 32 divisors (see below), whose sum is σ = 137529190103040. Its totient is φ = 65930336123904.

The previous prime is 101011000099979. The next prime is 101011000100039. The reversal of 101011000100001 is 100001000110101.

It is not a de Polignac number, because 101011000100001 - 2⁶ = 101011000099937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011000100041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777582811 + ... + 777712703.

It is an arithmetic number, because the mean of its divisors is an integer number (4297787190720).

Almost surely, 2^{101011000100001} is an apocalyptic number.

It is an amenable number.

101011000100001 is a deficient number, since it is larger than the sum of its proper divisors (36518190003039).

101011000100001 is a wasteful number, since it uses less digits than its factorization.

101011000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156025.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101011000100001 its reverse (100001000110101), we get a palindrome (201012000210102).

The spelling of 101011000100001 in words is "one hundred one trillion, eleven billion, one hundred thousand, one".