100001121102012 has 96 divisors (see below), whose sum is σ = 252019815264000. Its totient is φ = 30679661117952.

The previous prime is 100001121101989. The next prime is 100001121102097. The reversal of 100001121102012 is 210201121100001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121624864 + ... + 122444312.

It is an arithmetic number, because the mean of its divisors is an integer number (2625206409000).

Almost surely, 2^{100001121102012} is an apocalyptic number.

100001121102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100001121102012 is an abundant number, since it is smaller than the sum of its proper divisors (152018694161988).

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

100001121102012 is a wasteful number, since it uses less digits than its factorization.

100001121102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821755 (or 821753 counting only the distinct ones).

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

Adding to 100001121102012 its reverse (210201121100001), we get a palindrome (310202242202013).

The spelling of 100001121102012 in words is "one hundred trillion, one billion, one hundred twenty-one million, one hundred two thousand, twelve".