10012012021200 has 240 divisors, whose sum is σ = 38809587991680. Its totient is φ = 2153844572160.

The previous prime is 10012012021199. The next prime is 10012012021243. The reversal of 10012012021200 is 212021021001.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34913265 + ... + 35198864.

It is an arithmetic number, because the mean of its divisors is an integer number (161706616632).

Almost surely, 2^{10012012021200} is an apocalyptic number.

10012012021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012012021200 is an abundant number, since it is smaller than the sum of its proper divisors (28797575970480).

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

10012012021200 is a wasteful number, since it uses less digits than its factorization.

10012012021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70112174 (or 70112163 counting only the distinct ones).

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

Adding to 10012012021200 its reverse (212021021001), we get a palindrome (10224033042201).

The spelling of 10012012021200 in words is "ten trillion, twelve billion, twelve million, twenty-one thousand, two hundred".