10121310000 has 150 divisors (see below), whose sum is σ = 35395997780. Its totient is φ = 2698992000.

The previous prime is 10121309999. The next prime is 10121310107. The reversal of 10121310000 is 1312101.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×10121310000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33771 + ... + 146229.

Almost surely, 2^10121310000 is an apocalyptic number.

10121310000 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 10121310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17697998890).

10121310000 is an abundant number, since it is smaller than the sum of its proper divisors (25274687780).

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

10121310000 is a wasteful number, since it uses less digits than its factorization.

10121310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112493 (or 112469 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10121310000 its reverse (1312101), we get a palindrome (10122622101).

The spelling of 10121310000 in words is "ten billion, one hundred twenty-one million, three hundred ten thousand".