101111001051006 has 32 divisors (see below), whose sum is σ = 224785482112800. Its totient is φ = 33689511717120.

The previous prime is 101111001050989. The next prime is 101111001051023. The reversal of 101111001051006 is 600150100111101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101111001050989) and next prime (101111001051023).

It is a super-2 number, since 2×101111001051006² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 101111001051006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393073011 + ... + 393330158.

It is an arithmetic number, because the mean of its divisors is an integer number (7024546316025).

Almost surely, 2^{101111001051006} is an apocalyptic number.

101111001051006 is an abundant number, since it is smaller than the sum of its proper divisors (123674481061794).

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

101111001051006 is a wasteful number, since it uses less digits than its factorization.

101111001051006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786405561 (or 786405555 counting only the distinct ones).

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

Adding to 101111001051006 its reverse (600150100111101), we get a palindrome (701261101162107).

The spelling of 101111001051006 in words is "one hundred one trillion, one hundred eleven billion, one million, fifty-one thousand, six".