10211104422240 has 96 divisors (see below), whose sum is σ = 32168129736960. Its totient is φ = 2722694444544.

The previous prime is 10211104422193. The next prime is 10211104422349. The reversal of 10211104422240 is 4222440111201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10211104422240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3887517 + ... + 5961123.

It is an arithmetic number, because the mean of its divisors is an integer number (335084684760).

Almost surely, 2^{10211104422240} is an apocalyptic number.

10211104422240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211104422240 is an abundant number, since it is smaller than the sum of its proper divisors (21957025314720).

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

10211104422240 is a wasteful number, since it uses less digits than its factorization.

10211104422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083884 (or 2083876 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10211104422240 its reverse (4222440111201), we get a palindrome (14433544533441).

It can be divided in two parts, 1021110 and 4422240, that added together give a triangular number (5443350 = T₃₂₉₉).

The spelling of 10211104422240 in words is "ten trillion, two hundred eleven billion, one hundred four million, four hundred twenty-two thousand, two hundred forty".