10101310121000 has 512 divisors, whose sum is σ = 29198646097920. Its totient is φ = 3191924736000.

The previous prime is 10101310120999. The next prime is 10101310121003. The reversal of 10101310121000 is 12101310101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10101310121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4168925789 + ... + 4168928211.

It is an arithmetic number, because the mean of its divisors is an integer number (57028605660).

Almost surely, 2^{10101310121000} is an apocalyptic number.

10101310121000 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 10101310121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599323048960).

10101310121000 is an abundant number, since it is smaller than the sum of its proper divisors (19097335976920).

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

10101310121000 is a wasteful number, since it uses less digits than its factorization.

10101310121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10101310121000 its reverse (12101310101), we get a palindrome (10113411431101).

The spelling of 10101310121000 in words is "ten trillion, one hundred one billion, three hundred ten million, one hundred twenty-one thousand".