10002102201220 has 48 divisors (see below), whose sum is σ = 21043373562288. Its totient is φ = 3993421824000.

The previous prime is 10002102201209. The next prime is 10002102201253. The reversal of 10002102201220 is 2210220120001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 115970215936 + 9886131985284 = 340544^2 + 3144222^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10002102201220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103823394 + ... + 103919686.

It is an arithmetic number, because the mean of its divisors is an integer number (438403615881).

Almost surely, 2^{10002102201220} is an apocalyptic number.

10002102201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002102201220 is an abundant number, since it is smaller than the sum of its proper divisors (11041271361068).

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

10002102201220 is a wasteful number, since it uses less digits than its factorization.

10002102201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105880 (or 105878 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10002102201220 its reverse (2210220120001), we get a palindrome (12212322321221).

The spelling of 10002102201220 in words is "ten trillion, two billion, one hundred two million, two hundred one thousand, two hundred twenty".