101096202240 has 672 divisors, whose sum is σ = 387533180736. Its totient is φ = 24174919680.

The previous prime is 101096202169. The next prime is 101096202299. The reversal of 101096202240 is 42202690101.

101096202240 is a `hidden beast` number, since 1 + 0 + 10 + 9 + 620 + 2 + 24 + 0 = 666.

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, 433889164 + ... + 433889396.

Almost surely, 2^101096202240 is an apocalyptic number.

101096202240 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 101096202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193766590368).

101096202240 is an abundant number, since it is smaller than the sum of its proper divisors (286436978496).

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

101096202240 is a wasteful number, since it uses less digits than its factorization.

101096202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101096202240 its reverse (42202690101), we get a palindrome (143298892341).

The spelling of 101096202240 in words is "one hundred one billion, ninety-six million, two hundred two thousand, two hundred forty".