100001121012 has 288 divisors, whose sum is σ = 287093963520. Its totient is φ = 29145692160.

The previous prime is 100001121001. The next prime is 100001121019. The reversal of 100001121012 is 210121100001.

It is a happy number.

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 = 100001120985 and 100001121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001121019) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108814689 + ... + 108815607.

It is an arithmetic number, because the mean of its divisors is an integer number (996854040).

Almost surely, 2^100001121012 is an apocalyptic number.

100001121012 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 100001121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143546981760).

100001121012 is an abundant number, since it is smaller than the sum of its proper divisors (187092842508).

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

100001121012 is a wasteful number, since it uses less digits than its factorization.

100001121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100001121012 its reverse (210121100001), we get a palindrome (310122221013).

The spelling of 100001121012 in words is "one hundred billion, one million, one hundred twenty-one thousand, twelve".