10011211102240 has 96 divisors (see below), whose sum is σ = 25046723000880. Its totient is φ = 3768328617984.

The previous prime is 10011211102199. The next prime is 10011211102247. The reversal of 10011211102240 is 4220111211001.

It can be written as a sum of positive squares in 8 ways, for example, as 8719051462416 + 1292159639824 = 2952804^2 + 1136732^2 .

It is a super-2 number, since 2×10011211102240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10011211102247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17045796 + ... + 17623324.

Almost surely, 2^{10011211102240} is an apocalyptic number.

10011211102240 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 10011211102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523361500440).

10011211102240 is an abundant number, since it is smaller than the sum of its proper divisors (15035511898640).

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

10011211102240 is a wasteful number, since it uses less digits than its factorization.

10011211102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583934 (or 583926 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10011211102240 its reverse (4220111211001), we get a palindrome (14231322313241).

The spelling of 10011211102240 in words is "ten trillion, eleven billion, two hundred eleven million, one hundred two thousand, two hundred forty".