101400011040 has 192 divisors, whose sum is σ = 324018237312. Its totient is φ = 26651443200.

The previous prime is 101400011029. The next prime is 101400011071. The reversal of 101400011040 is 40110004101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18363480 + ... + 18369000.

It is an arithmetic number, because the mean of its divisors is an integer number (1687594986).

Almost surely, 2^101400011040 is an apocalyptic number.

101400011040 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 101400011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162009118656).

101400011040 is an abundant number, since it is smaller than the sum of its proper divisors (222618226272).

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

101400011040 is a wasteful number, since it uses less digits than its factorization.

101400011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6083 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101400011040 its reverse (40110004101), we get a palindrome (141510015141).

The spelling of 101400011040 in words is "one hundred one billion, four hundred million, eleven thousand, forty".