10200221001220 has 24 divisors (see below), whose sum is σ = 21428418342744. Its totient is φ = 4078573307136.

The previous prime is 10200221001211. The next prime is 10200221001221. The reversal of 10200221001220 is 2210012200201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2122336166976 + 8077884834244 = 1456824^2 + 2842162^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10200221001220.

It is not an unprimeable number, because it can be changed into a prime (10200221001221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94638129 + ... + 94745848.

It is an arithmetic number, because the mean of its divisors is an integer number (892850764281).

Almost surely, 2^{10200221001220} is an apocalyptic number.

10200221001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200221001220 is an abundant number, since it is smaller than the sum of its proper divisors (11228197341524).

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

10200221001220 is a wasteful number, since it uses less digits than its factorization.

10200221001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189386679 (or 189386677 counting only the distinct ones).

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

Adding to 10200221001220 its reverse (2210012200201), we get a palindrome (12410233201421).

The spelling of 10200221001220 in words is "ten trillion, two hundred billion, two hundred twenty-one million, one thousand, two hundred twenty".