202142132010 has 384 divisors, whose sum is σ = 672317521920. Its totient is φ = 42315436800.

The previous prime is 202142131993. The next prime is 202142132113. The reversal of 202142132010 is 10231241202.

It is a happy number.

202142132010 is a `hidden beast` number, since 20 + 21 + 421 + 3 + 201 + 0 = 666.

It is a super-2 number, since 2×202142132010² (a number of 23 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 41840295 + ... + 41845125.

It is an arithmetic number, because the mean of its divisors is an integer number (1750826880).

Almost surely, 2^202142132010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202142132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336158760960).

202142132010 is an abundant number, since it is smaller than the sum of its proper divisors (470175389910).

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

202142132010 is a wasteful number, since it uses less digits than its factorization.

202142132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 4992 counting only the distinct ones).

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

Adding to 202142132010 its reverse (10231241202), we get a palindrome (212373373212).

The spelling of 202142132010 in words is "two hundred two billion, one hundred forty-two million, one hundred thirty-two thousand, ten".