2200101021120 has 224 divisors, whose sum is σ = 7177381632000. Its totient is φ = 570576973824.

The previous prime is 2200101021119. The next prime is 2200101021143. The reversal of 2200101021120 is 211201010022.

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 = 2200101021096 and 2200101021105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85199571 + ... + 85225389.

Almost surely, 2^{2200101021120} is an apocalyptic number.

2200101021120 is a gapful number since it is divisible by the number (20) 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 2200101021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588690816000).

2200101021120 is an abundant number, since it is smaller than the sum of its proper divisors (4977280610880).

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

2200101021120 is a wasteful number, since it uses less digits than its factorization.

2200101021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28275 (or 28265 counting only the distinct ones).

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

Adding to 2200101021120 its reverse (211201010022), we get a palindrome (2411302031142).

The spelling of 2200101021120 in words is "two trillion, two hundred billion, one hundred one million, twenty-one thousand, one hundred twenty".