10001410203120 has 160 divisors (see below), whose sum is σ = 35520204656640. Its totient is φ = 2280447129600.

The previous prime is 10001410203041. The next prime is 10001410203137. The reversal of 10001410203120 is 2130201410001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10001410203120.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6590656 + ... + 7964895.

It is an arithmetic number, because the mean of its divisors is an integer number (222001279104).

Almost surely, 2^{10001410203120} is an apocalyptic number.

10001410203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001410203120 is an abundant number, since it is smaller than the sum of its proper divisors (25518794453520).

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

10001410203120 is a wasteful number, since it uses less digits than its factorization.

10001410203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14555983 (or 14555977 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10001410203120 its reverse (2130201410001), we get a palindrome (12131611613121).

The spelling of 10001410203120 in words is "ten trillion, one billion, four hundred ten million, two hundred three thousand, one hundred twenty".