2201121210000 has 200 divisors, whose sum is σ = 7334725936384. Its totient is φ = 568031040000.

The previous prime is 2201121209971. The next prime is 2201121210019. The reversal of 2201121210000 is 121211022.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2201121210000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 253399 + ... + 2113398.

Almost surely, 2^{2201121210000} is an apocalyptic number.

2201121210000 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 2201121210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667362968192).

2201121210000 is an abundant number, since it is smaller than the sum of its proper divisors (5133604726384).

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

2201121210000 is a wasteful number, since it uses less digits than its factorization.

2201121210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366859 (or 2366838 counting only the distinct ones).

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

Adding to 2201121210000 its reverse (121211022), we get a palindrome (2201242421022).

The spelling of 2201121210000 in words is "two trillion, two hundred one billion, one hundred twenty-one million, two hundred ten thousand".