10211232420 has 144 divisors (see below), whose sum is σ = 31254782832. Its totient is φ = 2698444800.

The previous prime is 10211232337. The next prime is 10211232511. The reversal of 10211232420 is 2423211201.

It is a happy number.

10211232420 is a `hidden beast` number, since 1 + 0 + 2 + 11 + 232 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1973491776 + 8237740644 = 44424^2 + 90762^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10211232393 and 10211232402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13930374 + ... + 13931106.

It is an arithmetic number, because the mean of its divisors is an integer number (217047103).

Almost surely, 2^10211232420 is an apocalyptic number.

10211232420 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 10211232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15627391416).

10211232420 is an abundant number, since it is smaller than the sum of its proper divisors (21043550412).

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

10211232420 is a wasteful number, since it uses less digits than its factorization.

10211232420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10211232420 its reverse (2423211201), we get a palindrome (12634443621).

The spelling of 10211232420 in words is "ten billion, two hundred eleven million, two hundred thirty-two thousand, four hundred twenty".