10002141142100 has 36 divisors (see below), whose sum is σ = 21709181398464. Its totient is φ = 4000020490080.

The previous prime is 10002141142099. The next prime is 10002141142127. The reversal of 10002141142100 is 124114120001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9968492 + ... + 10925891.

It is an arithmetic number, because the mean of its divisors is an integer number (603032816624).

Almost surely, 2^{10002141142100} is an apocalyptic number.

10002141142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002141142100 is an abundant number, since it is smaller than the sum of its proper divisors (11707040256364).

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

10002141142100 is a wasteful number, since it uses less digits than its factorization.

10002141142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20899184 (or 20899177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10002141142100 its reverse (124114120001), we get a palindrome (10126255262101).

The spelling of 10002141142100 in words is "ten trillion, two billion, one hundred forty-one million, one hundred forty-two thousand, one hundred".