2201101020000 has 240 divisors, whose sum is σ = 8022281485680. Its totient is φ = 586960128000.

The previous prime is 2201101019977. The next prime is 2201101020029. The reversal of 2201101020000 is 201011022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1498057 + ... + 2578056.

It is an arithmetic number, because the mean of its divisors is an integer number (33426172857).

Almost surely, 2^{2201101020000} is an apocalyptic number.

2201101020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201101020000 is an abundant number, since it is smaller than the sum of its proper divisors (5821180465680).

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

2201101020000 is an equidigital number, since it uses as much as digits as its factorization.

2201101020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076152 (or 4076123 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2201101020000 its reverse (201011022), we get a palindrome (2201302031022).

The spelling of 2201101020000 in words is "two trillion, two hundred one billion, one hundred one million, twenty thousand".