10202142312200 has 48 divisors (see below), whose sum is σ = 23720691875280. Its totient is φ = 4080734602560.

The previous prime is 10202142312199. The next prime is 10202142312209. The reversal of 10202142312200 is 221324120201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10202142312209) by changing a digit.

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, 6077147 + ... + 7572053.

It is an arithmetic number, because the mean of its divisors is an integer number (494181080735).

Almost surely, 2^{10202142312200} is an apocalyptic number.

10202142312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202142312200 is an abundant number, since it is smaller than the sum of its proper divisors (13518549563080).

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

10202142312200 is a wasteful number, since it uses less digits than its factorization.

10202142312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529046 (or 1529037 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10202142312200 its reverse (221324120201), we get a palindrome (10423466432401).

The spelling of 10202142312200 in words is "ten trillion, two hundred two billion, one hundred forty-two million, three hundred twelve thousand, two hundred".