10001120221120 has 224 divisors, whose sum is σ = 28671674757120. Its totient is φ = 3246006804480.

The previous prime is 10001120221091. The next prime is 10001120221153. The reversal of 10001120221120 is 2112202110001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 10001120221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56132817 + ... + 56310703.

Almost surely, 2^{10001120221120} is an apocalyptic number.

10001120221120 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 10001120221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14335837378560).

10001120221120 is an abundant number, since it is smaller than the sum of its proper divisors (18670554536000).

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

10001120221120 is a wasteful number, since it uses less digits than its factorization.

10001120221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179251 (or 179241 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10001120221120 its reverse (2112202110001), we get a palindrome (12113322331121).

The spelling of 10001120221120 in words is "ten trillion, one billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty".