101110120211000 has 128 divisors (see below), whose sum is σ = 244240466296320. Its totient is φ = 39137702400000.

The previous prime is 101110120210993. The next prime is 101110120211119. The reversal of 101110120211000 is 112021011101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897734690 + ... + 897847310.

It is an arithmetic number, because the mean of its divisors is an integer number (1908128642940).

Almost surely, 2^{101110120211000} is an apocalyptic number.

101110120211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110120211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122120233148160).

101110120211000 is an abundant number, since it is smaller than the sum of its proper divisors (143130346085320).

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

101110120211000 is a wasteful number, since it uses less digits than its factorization.

101110120211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141634 (or 141620 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101110120211000 its reverse (112021011101), we get a palindrome (101222141222101).

The spelling of 101110120211000 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty million, two hundred eleven thousand".