101101111012000 has 144 divisors (see below), whose sum is σ = 273040680295656. Its totient is φ = 36764040192000.

The previous prime is 101101111011947. The next prime is 101101111012039. The reversal of 101101111012000 is 210111101101.

It can be written as a sum of positive squares in 4 ways, for example, as 45510189023376 + 55590921988624 = 6746124^2 + 7455932^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103959297 + ... + 104927296.

Almost surely, 2^{101101111012000} is an apocalyptic number.

101101111012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101111012000 is an abundant number, since it is smaller than the sum of its proper divisors (171939569283656).

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

101101111012000 is a wasteful number, since it uses less digits than its factorization.

101101111012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208886640 (or 208886611 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101101111012000 its reverse (210111101101), we get a palindrome (101311222113101).

It can be divided in two parts, 10110111 and 1012000, that added together give a palindrome (11122111).

The spelling of 101101111012000 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, twelve thousand".