2112229129201 has 9 divisors (see below), whose sum is σ = 2134371630411. Its totient is φ = 2090314049472.

The previous prime is 2112229129193. The next prime is 2112229129279. The reversal of 2112229129201 is 1029219222112.

It is a happy number.

The square root of 2112229129201 is 1453351.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 948471471025 + 1163757658176 = 973895^2 + 1078776^2 .

It is not a de Polignac number, because 2112229129201 - 2³ = 2112229129193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112229120201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140967556 + ... + 140982538.

It is an arithmetic number, because the mean of its divisors is an integer number (237152403379).

Almost surely, 2^{2112229129201} is an apocalyptic number.

2112229129201 is the 1453351-st square number.

2112229129201 is the 726676-th centered octagonal number.

It is an amenable number.

2112229129201 is a deficient number, since it is larger than the sum of its proper divisors (22142501210).

2112229129201 is an frugal number, since it uses more digits than its factorization.

2112229129201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30160 (or 15080 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 2112229129201 in words is "two trillion, one hundred twelve billion, two hundred twenty-nine million, one hundred twenty-nine thousand, two hundred one".