10002012200100 has 180 divisors, whose sum is σ = 32528191211824. Its totient is φ = 2658514633920.

The previous prime is 10002012200069. The next prime is 10002012200101. The reversal of 10002012200100 is 100221020001.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (10002012200101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 475599 + ... + 4497801.

Almost surely, 2^{10002012200100} is an apocalyptic number.

10002012200100 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 10002012200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16264095605912).

10002012200100 is an abundant number, since it is smaller than the sum of its proper divisors (22526179011724).

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

10002012200100 is a wasteful number, since it uses less digits than its factorization.

10002012200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022536 (or 4022520 counting only the distinct ones).

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

Adding to 10002012200100 its reverse (100221020001), we get a palindrome (10102233220101).

The spelling of 10002012200100 in words is "ten trillion, two billion, twelve million, two hundred thousand, one hundred".