101035343000 has 128 divisors (see below), whose sum is σ = 250180669440. Its totient is φ = 38111920000.

The previous prime is 101035342949. The next prime is 101035343011. The reversal of 101035343000 is 343530101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1602065 + ... + 1663935.

It is an arithmetic number, because the mean of its divisors is an integer number (1954536480).

Almost surely, 2^101035343000 is an apocalyptic number.

101035343000 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 101035343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125090334720).

101035343000 is an abundant number, since it is smaller than the sum of its proper divisors (149145326440).

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

101035343000 is a wasteful number, since it uses less digits than its factorization.

101035343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61986 (or 61972 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 101035343000 its reverse (343530101), we get a palindrome (101378873101).

The spelling of 101035343000 in words is "one hundred one billion, thirty-five million, three hundred forty-three thousand".