101322312040 has 64 divisors (see below), whose sum is σ = 230471730000. Its totient is φ = 40087246848.

The previous prime is 101322311947. The next prime is 101322312043. The reversal of 101322312040 is 40213223101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37057020004 + 64265292036 = 192502^2 + 253506^2 .

It is a super-2 number, since 2×101322312040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101322311999 and 101322312017.

It is not an unprimeable number, because it can be changed into a prime (101322312043) 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, 1484586 + ... + 1551334.

Almost surely, 2^101322312040 is an apocalyptic number.

101322312040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322312040 is an abundant number, since it is smaller than the sum of its proper divisors (129149417960).

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

101322312040 is a wasteful number, since it uses less digits than its factorization.

101322312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67174 (or 67170 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 101322312040 its reverse (40213223101), we get a palindrome (141535535141).

The spelling of 101322312040 in words is "one hundred one billion, three hundred twenty-two million, three hundred twelve thousand, forty".