10211001220 has 72 divisors (see below), whose sum is σ = 25259955840. Its totient is φ = 3456573120.

The previous prime is 10211001211. The next prime is 10211001257. The reversal of 10211001220 is 2210011201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10211001197 and 10211001206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11475 + ... + 143365.

It is an arithmetic number, because the mean of its divisors is an integer number (350832720).

Almost surely, 2^10211001220 is an apocalyptic number.

10211001220 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 10211001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12629977920).

10211001220 is an abundant number, since it is smaller than the sum of its proper divisors (15048954620).

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

10211001220 is a wasteful number, since it uses less digits than its factorization.

10211001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131993 (or 131984 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10211001220 its reverse (2210011201), we get a palindrome (12421012421).

The spelling of 10211001220 in words is "ten billion, two hundred eleven million, one thousand, two hundred twenty".