100012122002100 has 576 divisors, whose sum is σ = 368409320294400. Its totient is φ = 20344670208000.

The previous prime is 100012122002063. The next prime is 100012122002249. The reversal of 100012122002100 is 1200221210001.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 328306656 + ... + 328611144.

It is an arithmetic number, because the mean of its divisors is an integer number (639599514400).

Almost surely, 2^{100012122002100} is an apocalyptic number.

100012122002100 is a gapful number since it is divisible by the number (10) 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 100012122002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184204660147200).

100012122002100 is an abundant number, since it is smaller than the sum of its proper divisors (268397198292300).

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

100012122002100 is a wasteful number, since it uses less digits than its factorization.

100012122002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304824 (or 304817 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100012122002100 its reverse (1200221210001), we get a palindrome (101212343212101).

The spelling of 100012122002100 in words is "one hundred trillion, twelve billion, one hundred twenty-two million, two thousand, one hundred".