100012200212028 has 192 divisors, whose sum is σ = 258569744832000. Its totient is φ = 29896934301696.

The previous prime is 100012200212027. The next prime is 100012200212203. The reversal of 100012200212028 is 820212002210001.

It is a junction number, because it is equal to n+sod(n) for n = 100012200211995 and 100012200212013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012200212027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1743954451 + ... + 1744011797.

It is an arithmetic number, because the mean of its divisors is an integer number (1346717421000).

Almost surely, 2^{100012200212028} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100012200212028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129284872416000).

100012200212028 is an abundant number, since it is smaller than the sum of its proper divisors (158557544619972).

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

100012200212028 is a wasteful number, since it uses less digits than its factorization.

100012200212028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59644 (or 59642 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 100012200212028 its reverse (820212002210001), we get a palindrome (920224202422029).

The spelling of 100012200212028 in words is "one hundred trillion, twelve billion, two hundred million, two hundred twelve thousand, twenty-eight".