10203626100040 has 16 divisors (see below), whose sum is σ = 22958158725180. Its totient is φ = 4081450440000.

The previous prime is 10203626100013. The next prime is 10203626100079. The reversal of 10203626100040 is 4000162630201.

It can be written as a sum of positive squares in 2 ways, for example, as 10145919490756 + 57706609284 = 3185266^2 + 240222^2 .

It is a super-2 number, since 2×10203626100040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10203626099978 and 10203626100014.

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, 127545326211 + ... + 127545326290.

Almost surely, 2^{10203626100040} is an apocalyptic number.

10203626100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10203626100040 is an abundant number, since it is smaller than the sum of its proper divisors (12754532625140).

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

10203626100040 is a wasteful number, since it uses less digits than its factorization.

10203626100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255090652512 (or 255090652508 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10203626100040 its reverse (4000162630201), we get a palindrome (14203788730241).

The spelling of 10203626100040 in words is "ten trillion, two hundred three billion, six hundred twenty-six million, one hundred thousand, forty".