100212002000100 has 216 divisors, whose sum is σ = 314384098129920. Its totient is φ = 26699801840640.

The previous prime is 100212002000069. The next prime is 100212002000177. The reversal of 100212002000100 is 1000200212001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7496963617 + ... + 7496976983.

Almost surely, 2^{100212002000100} is an apocalyptic number.

100212002000100 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 100212002000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157192049064960).

100212002000100 is an abundant number, since it is smaller than the sum of its proper divisors (214172096129820).

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

100212002000100 is a wasteful number, since it uses less digits than its factorization.

100212002000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20059 (or 20049 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100212002000100 its reverse (1000200212001), we get a palindrome (101212202212101).

The spelling of 100212002000100 in words is "one hundred trillion, two hundred twelve billion, two million, one hundred", and thus it is an aban number.