100101011011110 has 384 divisors, whose sum is σ = 273894672190464. Its totient is φ = 25338653383680.

The previous prime is 100101011011087. The next prime is 100101011011129. The reversal of 100101011011110 is 11110110101001.

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

100101011011110 is a modest number, since divided by 11011110 gives 1001010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100101011011092 and 100101011011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18111271167 + ... + 18111276693.

It is an arithmetic number, because the mean of its divisors is an integer number (713267375496).

Almost surely, 2^{100101011011110} is an apocalyptic number.

100101011011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101011011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136947336095232).

100101011011110 is an abundant number, since it is smaller than the sum of its proper divisors (173793661179354).

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

100101011011110 is a wasteful number, since it uses less digits than its factorization.

100101011011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6348 (or 6345 counting only the distinct ones).

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

Adding to 100101011011110 its reverse (11110110101001), we get a palindrome (111211121112111).

The spelling of 100101011011110 in words is "one hundred trillion, one hundred one billion, eleven million, eleven thousand, one hundred ten".