101110111120000 has 160 divisors (see below), whose sum is σ = 257062786326720. Its totient is φ = 39583531392000.

The previous prime is 101110111119967. The next prime is 101110111120019. The reversal of 101110111120000 is 21111011101.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9685494 + ... + 17205493.

It is an arithmetic number, because the mean of its divisors is an integer number (1606642414542).

Almost surely, 2^{101110111120000} is an apocalyptic number.

101110111120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110111120000 is an abundant number, since it is smaller than the sum of its proper divisors (155952675206720).

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

101110111120000 is an frugal number, since it uses more digits than its factorization.

101110111120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26891068 (or 26891041 counting only the distinct ones).

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

Adding to 101110111120000 its reverse (21111011101), we get a palindrome (101131222131101).

The spelling of 101110111120000 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred twenty thousand".