101140311004040 has 64 divisors (see below), whose sum is σ = 283718275032960. Its totient is φ = 31524252779520.

The previous prime is 101140311004027. The next prime is 101140311004067. The reversal of 101140311004040 is 40400113041101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16418878577 + ... + 16418884736.

It is an arithmetic number, because the mean of its divisors is an integer number (4433098047390).

Almost surely, 2^{101140311004040} is an apocalyptic number.

101140311004040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101140311004040 is an abundant number, since it is smaller than the sum of its proper divisors (182577964028920).

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

101140311004040 is a wasteful number, since it uses less digits than its factorization.

101140311004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32837763342 (or 32837763338 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101140311004040 its reverse (40400113041101), we get a palindrome (141540424045141).

The spelling of 101140311004040 in words is "one hundred one trillion, one hundred forty billion, three hundred eleven million, four thousand, forty".