10012201920 has 336 divisors, whose sum is σ = 39572964288. Its totient is φ = 2275983360.

The previous prime is 10012201909. The next prime is 10012201933. The reversal of 10012201920 is 2910221001.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 10012201893 and 10012201902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3970260 + ... + 3972780.

Almost surely, 2^10012201920 is an apocalyptic number.

10012201920 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 10012201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19786482144).

10012201920 is an abundant number, since it is smaller than the sum of its proper divisors (29560762368).

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

10012201920 is a wasteful number, since it uses less digits than its factorization.

10012201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10012201920 its reverse (2910221001), we get a palindrome (12922422921).

The spelling of 10012201920 in words is "ten billion, twelve million, two hundred one thousand, nine hundred twenty".