101100213240 has 128 divisors (see below), whose sum is σ = 327163959360. Its totient is φ = 24845635584.

The previous prime is 101100213223. The next prime is 101100213259. The reversal of 101100213240 is 42312001101.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 910002 + ... + 1015038.

Almost surely, 2^101100213240 is an apocalyptic number.

101100213240 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 101100213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163581979680).

101100213240 is an abundant number, since it is smaller than the sum of its proper divisors (226063746120).

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

101100213240 is a wasteful number, since it uses less digits than its factorization.

101100213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105681 (or 105677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101100213240 its reverse (42312001101), we get a palindrome (143412214341).

The spelling of 101100213240 in words is "one hundred one billion, one hundred million, two hundred thirteen thousand, two hundred forty".