10211300220 has 96 divisors (see below), whose sum is σ = 31275256320. Its totient is φ = 2468770560.

The previous prime is 10211300191. The next prime is 10211300249. The reversal of 10211300220 is 2200311201.

It is an interprime number because it is at equal distance from previous prime (10211300191) and next prime (10211300249).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10211300196 and 10211300205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225441 + ... + 266919.

It is an arithmetic number, because the mean of its divisors is an integer number (325783920).

Almost surely, 2^10211300220 is an apocalyptic number.

10211300220 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 10211300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637628160).

10211300220 is an abundant number, since it is smaller than the sum of its proper divisors (21063956100).

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

10211300220 is a wasteful number, since it uses less digits than its factorization.

10211300220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41875 (or 41873 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10211300220 its reverse (2200311201), we get a palindrome (12411611421).

The spelling of 10211300220 in words is "ten billion, two hundred eleven million, three hundred thousand, two hundred twenty".