20102001012032 has 112 divisors (see below), whose sum is σ = 40402740378000. Its totient is φ = 9922849505280.

The previous prime is 20102001012031. The next prime is 20102001012043. The reversal of 20102001012032 is 23021010020102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 140907141376 + 19961093870656 = 375376^2 + 4467784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20102001011998 and 20102001012016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102001012031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 925794008 + ... + 925815720.

It is an arithmetic number, because the mean of its divisors is an integer number (360738753375).

Almost surely, 2^{20102001012032} is an apocalyptic number.

It is an amenable number.

20102001012032 is an abundant number, since it is smaller than the sum of its proper divisors (20300739365968).

20102001012032 is a wasteful number, since it uses less digits than its factorization.

20102001012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22484 (or 22474 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20102001012032 its reverse (23021010020102), we get a palindrome (43123011032134).

The spelling of 20102001012032 in words is "twenty trillion, one hundred two billion, one million, twelve thousand, thirty-two".