101111001006 has 32 divisors (see below), whose sum is σ = 205268618880. Its totient is φ = 33196036896.

The previous prime is 101111001001. The next prime is 101111001037. The reversal of 101111001006 is 600100111101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101111000982 and 101111001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111001001) 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, 4111860 + ... + 4136376.

It is an arithmetic number, because the mean of its divisors is an integer number (6414644340).

Almost surely, 2^101111001006 is an apocalyptic number.

101111001006 is an abundant number, since it is smaller than the sum of its proper divisors (104157617874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101111001006 is a wasteful number, since it uses less digits than its factorization.

101111001006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34848.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101111001006 its reverse (600100111101), we get a palindrome (701211112107).

The spelling of 101111001006 in words is "one hundred one billion, one hundred eleven million, one thousand, six".