101431442020 has 24 divisors (see below), whose sum is σ = 213468099768. Its totient is φ = 40484563200.

The previous prime is 101431441961. The next prime is 101431442039. The reversal of 101431442020 is 20244134101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3453677824 + 97977764196 = 58768^2 + 313014^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101431441982 and 101431442000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5491401 + ... + 5509840.

It is an arithmetic number, because the mean of its divisors is an integer number (8894504157).

Almost surely, 2^101431442020 is an apocalyptic number.

101431442020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101431442020 is an abundant number, since it is smaller than the sum of its proper divisors (112036657748).

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

101431442020 is a wasteful number, since it uses less digits than its factorization.

101431442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11001711 (or 11001709 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 101431442020 its reverse (20244134101), we get a palindrome (121675576121).

The spelling of 101431442020 in words is "one hundred one billion, four hundred thirty-one million, four hundred forty-two thousand, twenty".