100010202111012 has 96 divisors (see below), whose sum is σ = 249116622491520. Its totient is φ = 31135449461760.

The previous prime is 100010202110927. The next prime is 100010202111019. The reversal of 100010202111012 is 210111202010001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100010202111019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35475562 + ... + 38190782.

It is an arithmetic number, because the mean of its divisors is an integer number (2594964817620).

Almost surely, 2^{100010202111012} is an apocalyptic number.

100010202111012 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 100010202111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124558311245760).

100010202111012 is an abundant number, since it is smaller than the sum of its proper divisors (149106420380508).

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

100010202111012 is a wasteful number, since it uses less digits than its factorization.

100010202111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717533 (or 2717531 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100010202111012 its reverse (210111202010001), we get a palindrome (310121404121013).

The spelling of 100010202111012 in words is "one hundred trillion, ten billion, two hundred two million, one hundred eleven thousand, twelve".