101111111111000 has 32 divisors (see below), whose sum is σ = 236600000002080. Its totient is φ = 40444444444000.

The previous prime is 101111111110957. The next prime is 101111111111011. The reversal of 101111111111000 is 111111111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50555554556 + ... + 50555556555.

It is an arithmetic number, because the mean of its divisors is an integer number (7393750000065).

Almost surely, 2^{101111111111000} is an apocalyptic number.

101111111111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111111111000 is an abundant number, since it is smaller than the sum of its proper divisors (135488888891080).

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

101111111111000 is a wasteful number, since it uses less digits than its factorization.

101111111111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101111111132 (or 101111111118 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101111111111000 its reverse (111111111101), we get a palindrome (101222222222101).

It can be divided in two parts, 101111 and 111111000, that added together give a palindrome (111212111).

The spelling of 101111111111000 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand".