10144121000 has 256 divisors, whose sum is σ = 27321053760. Its totient is φ = 3492249600.

The previous prime is 10144120991. The next prime is 10144121027. The reversal of 10144121000 is 12144101.

It can be written as a sum of positive squares in 32 ways, for example, as 2252641444 + 7891479556 = 47462^2 + 88834^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43536884 + ... + 43537116.

Almost surely, 2^10144121000 is an apocalyptic number.

10144121000 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 10144121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660526880).

10144121000 is an abundant number, since it is smaller than the sum of its proper divisors (17176932760).

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

10144121000 is a wasteful number, since it uses less digits than its factorization.

10144121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10144121000 its reverse (12144101), we get a palindrome (10156265101).

The spelling of 10144121000 in words is "ten billion, one hundred forty-four million, one hundred twenty-one thousand".