10121581620 has 144 divisors (see below), whose sum is σ = 31603270608. Its totient is φ = 2620200960.

The previous prime is 10121581609. The next prime is 10121581627. The reversal of 10121581620 is 2618512101.

10121581620 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 581 + 62 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1687730724 + 8433850896 = 41082^2 + 91836^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121581627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3468402 + ... + 3471318.

It is an arithmetic number, because the mean of its divisors is an integer number (219467157).

Almost surely, 2^10121581620 is an apocalyptic number.

10121581620 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 10121581620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15801635304).

10121581620 is an abundant number, since it is smaller than the sum of its proper divisors (21481688988).

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

10121581620 is a wasteful number, since it uses less digits than its factorization.

10121581620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 10121581620 in words is "ten billion, one hundred twenty-one million, five hundred eighty-one thousand, six hundred twenty".