10121142000 has 80 divisors (see below), whose sum is σ = 32630581152. Its totient is φ = 2698969600.

The previous prime is 10121141999. The next prime is 10121142029. The reversal of 10121142000 is 24112101.

It is a happy number.

10121142000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 837429 + ... + 849428.

Almost surely, 2^10121142000 is an apocalyptic number.

10121142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121142000 is an abundant number, since it is smaller than the sum of its proper divisors (22509439152).

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

10121142000 is a wasteful number, since it uses less digits than its factorization.

10121142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686883 (or 1686867 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10121142000 its reverse (24112101), we get a palindrome (10145254101).

The spelling of 10121142000 in words is "ten billion, one hundred twenty-one million, one hundred forty-two thousand".