1100000102040 has 256 divisors, whose sum is σ = 4194427392000. Its totient is φ = 251191549440.

The previous prime is 1100000102017. The next prime is 1100000102041. The reversal of 1100000102040 is 402010000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100000102041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8013585 + ... + 8149695.

It is an arithmetic number, because the mean of its divisors is an integer number (16384482000).

Almost surely, 2^{1100000102040} is an apocalyptic number.

1100000102040 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 1100000102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097213696000).

1100000102040 is an abundant number, since it is smaller than the sum of its proper divisors (3094427289960).

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

1100000102040 is a wasteful number, since it uses less digits than its factorization.

1100000102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137207 (or 137197 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1100000102040 its reverse (402010000011), we get a palindrome (1502010102051).

The spelling of 1100000102040 in words is "one trillion, one hundred billion, one hundred two thousand, forty".