10012100201200 has 60 divisors (see below), whose sum is σ = 25099899918768. Its totient is φ = 3830716595200.

The previous prime is 10012100201179. The next prime is 10012100201219. The reversal of 10012100201200 is 210200121001.

10012100201200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 544126681 + ... + 544145080.

Almost surely, 2^{10012100201200} is an apocalyptic number.

10012100201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012100201200 is an abundant number, since it is smaller than the sum of its proper divisors (15087799717568).

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

10012100201200 is a wasteful number, since it uses less digits than its factorization.

10012100201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088271802 (or 1088271791 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10012100201200 its reverse (210200121001), we get a palindrome (10222300322201).

The spelling of 10012100201200 in words is "ten trillion, twelve billion, one hundred million, two hundred one thousand, two hundred".