10001200221120 has 224 divisors, whose sum is σ = 33682074619968. Its totient is φ = 2505596403712.

The previous prime is 10001200221107. The next prime is 10001200221157. The reversal of 10001200221120 is 2112200210001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10001200221096 and 10001200221105.

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, 8540134 + ... + 9640346.

Almost surely, 2^{10001200221120} is an apocalyptic number.

10001200221120 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 10001200221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841037309984).

10001200221120 is an abundant number, since it is smaller than the sum of its proper divisors (23680874398848).

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

10001200221120 is a wasteful number, since it uses less digits than its factorization.

10001200221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100807 (or 1100797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001200221120 its reverse (2112200210001), we get a palindrome (12113400431121).

The spelling of 10001200221120 in words is "ten trillion, one billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".