10100202240 has 288 divisors, whose sum is σ = 33229357056. Its totient is φ = 2613329920.

The previous prime is 10100202149. The next prime is 10100202247. The reversal of 10100202240 is 4220200101.

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

It is not an unprimeable number, because it can be changed into a prime (10100202247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34471534 + ... + 34471826.

It is an arithmetic number, because the mean of its divisors is an integer number (115379712).

Almost surely, 2^10100202240 is an apocalyptic number.

10100202240 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 10100202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16614678528).

10100202240 is an abundant number, since it is smaller than the sum of its proper divisors (23129154816).

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

10100202240 is a wasteful number, since it uses less digits than its factorization.

10100202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10100202240 its reverse (4220200101), we get a palindrome (14320402341).

The spelling of 10100202240 in words is "ten billion, one hundred million, two hundred two thousand, two hundred forty".