101011110506001 has 16 divisors (see below), whose sum is σ = 149698068249600. Its totient is φ = 67317349962384.

The previous prime is 101011110505999. The next prime is 101011110506017. The reversal of 101011110506001 is 100605011110101.

It is a happy number.

101011110506001 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 1 + 1 + 10 + 50 + 600 + 1 = 666.

It is not a de Polignac number, because 101011110506001 - 2¹ = 101011110505999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011110506041) 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, 649653466 + ... + 649808931.

It is an arithmetic number, because the mean of its divisors is an integer number (9356129265600).

Almost surely, 2^{101011110506001} is an apocalyptic number.

It is an amenable number.

101011110506001 is a deficient number, since it is larger than the sum of its proper divisors (48686957743599).

101011110506001 is a wasteful number, since it uses less digits than its factorization.

101011110506001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299465285 (or 1299465279 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 101011110506001 its reverse (100605011110101), we get a palindrome (201616121616102).

The spelling of 101011110506001 in words is "one hundred one trillion, eleven billion, one hundred ten million, five hundred six thousand, one".