100110101111100 has 432 divisors, whose sum is σ = 326927151323136. Its totient is φ = 25605646080000.

The previous prime is 100110101111003. The next prime is 100110101111117. The reversal of 100110101111100 is 1111101011001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 501451300 + ... + 501650900.

It is an arithmetic number, because the mean of its divisors is an integer number (756775813248).

Almost surely, 2^{100110101111100} is an apocalyptic number.

100110101111100 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 100110101111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163463575661568).

100110101111100 is an abundant number, since it is smaller than the sum of its proper divisors (226817050212036).

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

100110101111100 is a wasteful number, since it uses less digits than its factorization.

100110101111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199906 (or 199896 counting only the distinct ones).

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

Adding to 100110101111100 its reverse (1111101011001), we get a palindrome (101221202122101).

The spelling of 100110101111100 in words is "one hundred trillion, one hundred ten billion, one hundred one million, one hundred eleven thousand, one hundred".