10201223013140 has 12 divisors (see below), whose sum is σ = 21422568327636. Its totient is φ = 4080489205248.

The previous prime is 10201223013139. The next prime is 10201223013161. The reversal of 10201223013140 is 4131032210201.

It can be written as a sum of positive squares in 2 ways, for example, as 5134339064464 + 5066883948676 = 2265908^2 + 2250974^2 .

It is a super-2 number, since 2×10201223013140² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 510061150657 = 10201223013140 / (1 + 0 + 2 + 0 + 1 + 2 + 2 + 3 + 0 + 1 + 3 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255030575309 + ... + 255030575348.

It is an arithmetic number, because the mean of its divisors is an integer number (1785214027303).

Almost surely, 2^{10201223013140} is an apocalyptic number.

10201223013140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201223013140 is an abundant number, since it is smaller than the sum of its proper divisors (11221345314496).

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

10201223013140 is a wasteful number, since it uses less digits than its factorization.

10201223013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510061150666 (or 510061150664 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10201223013140 its reverse (4131032210201), we get a palindrome (14332255223341).

The spelling of 10201223013140 in words is "ten trillion, two hundred one billion, two hundred twenty-three million, thirteen thousand, one hundred forty".