100010000121012 has 48 divisors (see below), whose sum is σ = 268226053972800. Its totient is φ = 32187126474720.

The previous prime is 100010000120999. The next prime is 100010000121019. The reversal of 100010000121012 is 210121000010001.

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 = 100010000120985 and 100010000121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010000121019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15965833414 + ... + 15965839677.

It is an arithmetic number, because the mean of its divisors is an integer number (5588042791100).

Almost surely, 2^{100010000121012} is an apocalyptic number.

100010000121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100010000121012 is an abundant number, since it is smaller than the sum of its proper divisors (168216053851788).

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

100010000121012 is a wasteful number, since it uses less digits than its factorization.

100010000121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31931673133 (or 31931673125 counting only the distinct ones).

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

Adding to 100010000121012 its reverse (210121000010001), we get a palindrome (310131000131013).

The spelling of 100010000121012 in words is "one hundred trillion, ten billion, one hundred twenty-one thousand, twelve".