101011000010001 has 32 divisors (see below), whose sum is σ = 144446486544000. Its totient is φ = 62591952503808.

The previous prime is 101011000009973. The next prime is 101011000010101. The reversal of 101011000010001 is 100010000110101.

It is not a de Polignac number, because 101011000010001 - 2⁶ = 101011000009937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011000010101) 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, 344214105 + ... + 344507433.

It is an arithmetic number, because the mean of its divisors is an integer number (4513952704500).

Almost surely, 2^{101011000010001} is an apocalyptic number.

It is an amenable number.

101011000010001 is a deficient number, since it is larger than the sum of its proper divisors (43435486533999).

101011000010001 is a wasteful number, since it uses less digits than its factorization.

101011000010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407393.

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

Adding to 101011000010001 its reverse (100010000110101), we get a palindrome (201021000120102).

The spelling of 101011000010001 in words is "one hundred one trillion, eleven billion, ten thousand, one".