101000011100001 has 32 divisors (see below), whose sum is σ = 149577758120448. Its totient is φ = 60229139078400.

The previous prime is 101000011099943. The next prime is 101000011100059. The reversal of 101000011100001 is 100001110000101.

It is an interprime number because it is at equal distance from previous prime (101000011099943) and next prime (101000011100059).

It is not a de Polignac number, because 101000011100001 - 2⁷ = 101000011099873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000011104001) 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, 272591766 + ... + 272962031.

It is an arithmetic number, because the mean of its divisors is an integer number (4674304941264).

Almost surely, 2^{101000011100001} is an apocalyptic number.

It is an amenable number.

101000011100001 is a deficient number, since it is larger than the sum of its proper divisors (48577747020447).

101000011100001 is a wasteful number, since it uses less digits than its factorization.

101000011100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545553961.

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

Adding to 101000011100001 its reverse (100001110000101), we get a palindrome (201001121100102).

The spelling of 101000011100001 in words is "one hundred one trillion, eleven million, one hundred thousand, one".