102200212112001 has 32 divisors (see below), whose sum is σ = 140949955169280. Its totient is φ = 65800997222400.

The previous prime is 102200212111999. The next prime is 102200212112017. The reversal of 102200212112001 is 100211212002201.

It is not a de Polignac number, because 102200212112001 - 2¹ = 102200212111999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102200212112021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263093845 + ... + 263482013.

It is an arithmetic number, because the mean of its divisors is an integer number (4404686099040).

Almost surely, 2^{102200212112001} is an apocalyptic number.

It is an amenable number.

102200212112001 is a deficient number, since it is larger than the sum of its proper divisors (38749743057279).

102200212112001 is a wasteful number, since it uses less digits than its factorization.

102200212112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393977.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102200212112001 its reverse (100211212002201), we get a palindrome (202411424114202).

The spelling of 102200212112001 in words is "one hundred two trillion, two hundred billion, two hundred twelve million, one hundred twelve thousand, one".