10201200333140 has 24 divisors (see below), whose sum is σ = 21422587983720. Its totient is φ = 4080467317248.

The previous prime is 10201200333133. The next prime is 10201200333173. The reversal of 10201200333140 is 4133300210201.

It can be written as a sum of positive squares in 4 ways, for example, as 49815364 + 10201150517776 = 7058^2 + 3193924^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 8184416 + ... + 9348104.

It is an arithmetic number, because the mean of its divisors is an integer number (892607832655).

Almost surely, 2^{10201200333140} is an apocalyptic number.

10201200333140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201200333140 is an abundant number, since it is smaller than the sum of its proper divisors (11221387650580).

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

10201200333140 is a wasteful number, since it uses less digits than its factorization.

10201200333140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602011 (or 1602009 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10201200333140 its reverse (4133300210201), we get a palindrome (14334500543341).

The spelling of 10201200333140 in words is "ten trillion, two hundred one billion, two hundred million, three hundred thirty-three thousand, one hundred forty".