10002012200000 has 84 divisors (see below), whose sum is σ = 24808091375844. Its totient is φ = 4000804800000.

The previous prime is 10002012199987. The next prime is 10002012200017. The reversal of 10002012200000 is 221020001.

It can be written as a sum of positive squares in 6 ways, for example, as 9986762913856 + 15249286144 = 3160184^2 + 123488^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 24805031 + ... + 25205030.

It is an arithmetic number, because the mean of its divisors is an integer number (295334421141).

Almost surely, 2^{10002012200000} is an apocalyptic number.

10002012200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002012200000 is an abundant number, since it is smaller than the sum of its proper divisors (14806079175844).

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

10002012200000 is an frugal number, since it uses more digits than its factorization.

10002012200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50010098 (or 50010068 counting only the distinct ones).

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

Adding to 10002012200000 its reverse (221020001), we get a palindrome (10002233220001).

The spelling of 10002012200000 in words is "ten trillion, two billion, twelve million, two hundred thousand".