101010431105040 has 320 divisors, whose sum is σ = 323323406548992. Its totient is φ = 26074828953600.

The previous prime is 101010431105027. The next prime is 101010431105057. The reversal of 101010431105040 is 40501134010101.

It is a junction number, because it is equal to n+sod(n) for n = 101010431104998 and 101010431105016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 585118417 + ... + 585291023.

Almost surely, 2^{101010431105040} is an apocalyptic number.

101010431105040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010431105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161661703274496).

101010431105040 is an abundant number, since it is smaller than the sum of its proper divisors (222312975443952).

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

101010431105040 is a wasteful number, since it uses less digits than its factorization.

101010431105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173318 (or 173312 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 101010431105040 its reverse (40501134010101), we get a palindrome (141511565115141).

The spelling of 101010431105040 in words is "one hundred one trillion, ten billion, four hundred thirty-one million, one hundred five thousand, forty".