101031031025 has 12 divisors (see below), whose sum is σ = 132647801292. Its totient is φ = 76070423040.

The previous prime is 101031031021. The next prime is 101031031051. The reversal of 101031031025 is 520130130101.

It can be written as a sum of positive squares in 6 ways, for example, as 2194360336 + 98836670689 = 46844^2 + 314383^2 .

It is not a de Polignac number, because 101031031025 - 2² = 101031031021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101031030994 and 101031031012.

It is not an unprimeable number, because it can be changed into a prime (101031031021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118859612 + ... + 118860461.

It is an arithmetic number, because the mean of its divisors is an integer number (11053983441).

Almost surely, 2^101031031025 is an apocalyptic number.

It is an amenable number.

101031031025 is a deficient number, since it is larger than the sum of its proper divisors (31616770267).

101031031025 is a wasteful number, since it uses less digits than its factorization.

101031031025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237720100 (or 237720095 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

Adding to 101031031025 its reverse (520130130101), we get a palindrome (621161161126).

The spelling of 101031031025 in words is "one hundred one billion, thirty-one million, thirty-one thousand, twenty-five".