101066020011 has 48 divisors (see below), whose sum is σ = 161513464320. Its totient is φ = 60386040000.

The previous prime is 101066020007. The next prime is 101066020031. The reversal of 101066020011 is 110020660101.

101066020011 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 660 + 2 + 0 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 101066020011 - 2² = 101066020007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101066020031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5394961 + ... + 5413661.

It is an arithmetic number, because the mean of its divisors is an integer number (3364863840).

Almost surely, 2^101066020011 is an apocalyptic number.

101066020011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101066020011 is a deficient number, since it is larger than the sum of its proper divisors (60447444309).

101066020011 is a wasteful number, since it uses less digits than its factorization.

101066020011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19488 (or 19485 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101066020011 its reverse (110020660101), we get a palindrome (211086680112).

The spelling of 101066020011 in words is "one hundred one billion, sixty-six million, twenty thousand, eleven".