10202142013002 has 48 divisors (see below), whose sum is σ = 22197120761088. Its totient is φ = 3386504187360.

The previous prime is 10202142013001. The next prime is 10202142013031. The reversal of 10202142013002 is 20031024120201.

It is a happy number.

10202142013002 is a `hidden beast` number, since 10 + 202 + 1 + 420 + 1 + 30 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10202142013001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6129727 + ... + 7614317.

It is an arithmetic number, because the mean of its divisors is an integer number (462440015856).

Almost surely, 2^{10202142013002} is an apocalyptic number.

10202142013002 is an abundant number, since it is smaller than the sum of its proper divisors (11994978748086).

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

10202142013002 is a wasteful number, since it uses less digits than its factorization.

10202142013002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486195 (or 1486192 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10202142013002 its reverse (20031024120201), we get a palindrome (30233166133203).

The spelling of 10202142013002 in words is "ten trillion, two hundred two billion, one hundred forty-two million, thirteen thousand, two".