101040600000 has 336 divisors, whose sum is σ = 341354151936. Its totient is φ = 26363520000.

The previous prime is 101040599969. The next prime is 101040600079. The reversal of 101040600000 is 6040101.

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

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 47 ways as a sum of consecutive naturals, for example, 28198209 + ... + 28201791.

It is an arithmetic number, because the mean of its divisors is an integer number (1015934976).

Almost surely, 2^101040600000 is an apocalyptic number.

101040600000 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 101040600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170677075968).

101040600000 is an abundant number, since it is smaller than the sum of its proper divisors (240313551936).

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

101040600000 is an frugal number, since it uses more digits than its factorization.

101040600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101040600000 its reverse (6040101), we get a palindrome (101046640101).

The spelling of 101040600000 in words is "one hundred one billion, forty million, six hundred thousand".