101055011066667 has 48 divisors (see below), whose sum is σ = 173731629240000. Its totient is φ = 55380297514752.

The previous prime is 101055011066651. The next prime is 101055011066693. The reversal of 101055011066667 is 766660110550101.

It is not a de Polignac number, because 101055011066667 - 2⁴ = 101055011066651 is a prime.

It is a super-2 number, since 2×101055011066667² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101055011066617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185338492 + ... + 185882937.

It is an arithmetic number, because the mean of its divisors is an integer number (3619408942500).

Almost surely, 2^{101055011066667} is an apocalyptic number.

101055011066667 is a deficient number, since it is larger than the sum of its proper divisors (72676618173333).

101055011066667 is a wasteful number, since it uses less digits than its factorization.

101055011066667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371221620 (or 371221617 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 101055011066667 in words is "one hundred one trillion, fifty-five billion, eleven million, sixty-six thousand, six hundred sixty-seven".