101110111001100 has 216 divisors, whose sum is σ = 335601385636608. Its totient is φ = 25374025881600.

The previous prime is 101110111001087. The next prime is 101110111001131. The reversal of 101110111001100 is 1100111011101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149464822 + ... + 150139778.

It is an arithmetic number, because the mean of its divisors is an integer number (1553710118688).

Almost surely, 2^{101110111001100} is an apocalyptic number.

101110111001100 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 101110111001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167800692818304).

101110111001100 is an abundant number, since it is smaller than the sum of its proper divisors (234491274635508).

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

101110111001100 is a wasteful number, since it uses less digits than its factorization.

101110111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684785 (or 684775 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101110111001100 its reverse (1100111011101), we get a palindrome (102210222012201).

The spelling of 101110111001100 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one thousand, one hundred".