10121301000 has 384 divisors, whose sum is σ = 36125107200. Its totient is φ = 2621376000.

The previous prime is 10121300947. The next prime is 10121301013. The reversal of 10121301000 is 10312101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45386889 + ... + 45387111.

It is an arithmetic number, because the mean of its divisors is an integer number (94075800).

Almost surely, 2^10121301000 is an apocalyptic number.

10121301000 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 10121301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18062553600).

10121301000 is an abundant number, since it is smaller than the sum of its proper divisors (26003806200).

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

10121301000 is a wasteful number, since it uses less digits than its factorization.

10121301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 274 counting only the distinct ones).

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

Adding to 10121301000 its reverse (10312101), we get a palindrome (10131613101).

The spelling of 10121301000 in words is "ten billion, one hundred twenty-one million, three hundred one thousand".