101043143040 has 384 divisors, whose sum is σ = 394384550400. Its totient is φ = 21879631872.

The previous prime is 101043143017. The next prime is 101043143051. The reversal of 101043143040 is 40341340101.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101043142998 and 101043143016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1759257 + ... + 1815783.

It is an arithmetic number, because the mean of its divisors is an integer number (1027043100).

Almost surely, 2^101043143040 is an apocalyptic number.

101043143040 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 101043143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197192275200).

101043143040 is an abundant number, since it is smaller than the sum of its proper divisors (293341407360).

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

101043143040 is a wasteful number, since it uses less digits than its factorization.

101043143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56582 (or 56563 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101043143040 its reverse (40341340101), we get a palindrome (141384483141).

The spelling of 101043143040 in words is "one hundred one billion, forty-three million, one hundred forty-three thousand, forty".