101023131012 has 24 divisors (see below), whose sum is σ = 245969363136. Its totient is φ = 32210273568.

The previous prime is 101023130947. The next prime is 101023131019. The reversal of 101023131012 is 210131320101.

It is a happy number.

101023131012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101023131012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101023130982 and 101023131000.

It is not an unprimeable number, because it can be changed into a prime (101023131019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183012643 + ... + 183013194.

It is an arithmetic number, because the mean of its divisors is an integer number (10248723464).

Almost surely, 2^101023131012 is an apocalyptic number.

101023131012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101023131012 is an abundant number, since it is smaller than the sum of its proper divisors (144946232124).

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

101023131012 is a wasteful number, since it uses less digits than its factorization.

101023131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366025867 (or 366025865 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101023131012 its reverse (210131320101), we get a palindrome (311154451113).

The spelling of 101023131012 in words is "one hundred one billion, twenty-three million, one hundred thirty-one thousand, twelve".