10201023121000 has 64 divisors (see below), whose sum is σ = 23901763026960. Its totient is φ = 4075047040000.

The previous prime is 10201023120961. The next prime is 10201023121001. The reversal of 10201023121000 is 12132010201.

It can be written as a sum of positive squares in 8 ways, for example, as 119343993444 + 10081679127556 = 345462^2 + 3175166^2 .

It is not an unprimeable number, because it can be changed into a prime (10201023121001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5941381 + ... + 7463380.

Almost surely, 2^{10201023121000} is an apocalyptic number.

10201023121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201023121000 is an abundant number, since it is smaller than the sum of its proper divisors (13700739905960).

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

10201023121000 is a wasteful number, since it uses less digits than its factorization.

10201023121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13405543 (or 13405529 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10201023121000 its reverse (12132010201), we get a palindrome (10213155131201).

The spelling of 10201023121000 in words is "ten trillion, two hundred one billion, twenty-three million, one hundred twenty-one thousand".