101111010000110 has 32 divisors (see below), whose sum is σ = 207177658440192. Its totient is φ = 35169046955680.

The previous prime is 101111010000071. The next prime is 101111010000113. The reversal of 101111010000110 is 11000010111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111010000113) 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, 19982410514 + ... + 19982415573.

It is an arithmetic number, because the mean of its divisors is an integer number (6474301826256).

Almost surely, 2^{101111010000110} is an apocalyptic number.

101111010000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111010000110 is an abundant number, since it is smaller than the sum of its proper divisors (106066648440082).

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

101111010000110 is a wasteful number, since it uses less digits than its factorization.

101111010000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39964826128.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101111010000110 its reverse (11000010111101), we get a palindrome (112111020111211).

The spelling of 101111010000110 in words is "one hundred one trillion, one hundred eleven billion, ten million, one hundred ten", and thus it is an aban number.