10121002000 has 80 divisors (see below), whose sum is σ = 24537380400. Its totient is φ = 4037683200.

The previous prime is 10121001973. The next prime is 10121002007. The reversal of 10121002000 is 20012101.

It can be written as a sum of positive squares in 8 ways, for example, as 6267572224 + 3853429776 = 79168^2 + 62076^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10121002007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 771496 + ... + 784504.

It is an arithmetic number, because the mean of its divisors is an integer number (306717255).

Almost surely, 2^10121002000 is an apocalyptic number.

10121002000 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 10121002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12268690200).

10121002000 is an abundant number, since it is smaller than the sum of its proper divisors (14416378400).

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

10121002000 is a wasteful number, since it uses less digits than its factorization.

10121002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13421 (or 13405 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10121002000 its reverse (20012101), we get a palindrome (10141014101).

The spelling of 10121002000 in words is "ten billion, one hundred twenty-one million, two thousand".