10202201021220 has 144 divisors (see below), whose sum is σ = 30972838659840. Its totient is φ = 2508043419648.

The previous prime is 10202201021203. The next prime is 10202201021237. The reversal of 10202201021220 is 2212010220201.

It is an interprime number because it is at equal distance from previous prime (10202201021203) and next prime (10202201021237).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10202201021220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7143477 + ... + 8451843.

It is an arithmetic number, because the mean of its divisors is an integer number (215089157360).

Almost surely, 2^{10202201021220} is an apocalyptic number.

10202201021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202201021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15486419329920).

10202201021220 is an abundant number, since it is smaller than the sum of its proper divisors (20770637638620).

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

10202201021220 is a wasteful number, since it uses less digits than its factorization.

10202201021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309174 (or 1309159 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10202201021220 its reverse (2212010220201), we get a palindrome (12414211241421).

The spelling of 10202201021220 in words is "ten trillion, two hundred two billion, two hundred one million, twenty-one thousand, two hundred twenty".