10201314120 has 32 divisors (see below), whose sum is σ = 30603942720. Its totient is φ = 2720350400.

The previous prime is 10201314113. The next prime is 10201314127. The reversal of 10201314120 is 2141310201.

It is an interprime number because it is at equal distance from previous prime (10201314113) and next prime (10201314127).

It is a super-2 number, since 2×10201314120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10201314120.

It is not an unprimeable number, because it can be changed into a prime (10201314127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42505356 + ... + 42505595.

It is an arithmetic number, because the mean of its divisors is an integer number (956373210).

Almost surely, 2^10201314120 is an apocalyptic number.

10201314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201314120 is an abundant number, since it is smaller than the sum of its proper divisors (20402628600).

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

10201314120 is a wasteful number, since it uses less digits than its factorization.

10201314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85010965 (or 85010961 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10201314120 its reverse (2141310201), we get a palindrome (12342624321).

The spelling of 10201314120 in words is "ten billion, two hundred one million, three hundred fourteen thousand, one hundred twenty".