100101011001012 has 144 divisors (see below), whose sum is σ = 292770163445760. Its totient is φ = 28247406276096.

The previous prime is 100101011000981. The next prime is 100101011001023. The reversal of 100101011001012 is 210100110101001.

100101011001012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 100101011000985 and 100101011001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557812 + ... + 14160267.

It is an arithmetic number, because the mean of its divisors is an integer number (2033126135040).

Almost surely, 2^{100101011001012} is an apocalyptic number.

100101011001012 is a gapful number since it is divisible by the number (12) 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 100101011001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146385081722880).

100101011001012 is an abundant number, since it is smaller than the sum of its proper divisors (192669152444748).

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

100101011001012 is a wasteful number, since it uses less digits than its factorization.

100101011001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14718430 (or 14718425 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100101011001012 its reverse (210100110101001), we get a palindrome (310201121102013).

The spelling of 100101011001012 in words is "one hundred trillion, one hundred one billion, eleven million, one thousand, twelve".