10200212102201 has 32 divisors (see below), whose sum is σ = 11720330588160. Its totient is φ = 8791575249600.

The previous prime is 10200212102173. The next prime is 10200212102243. The reversal of 10200212102201 is 10220121200201.

It is not a de Polignac number, because 10200212102201 - 2⁴² = 5802165591097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200212101201) 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, 11930690 + ... + 12757028.

It is an arithmetic number, because the mean of its divisors is an integer number (366260330880).

Almost surely, 2^{10200212102201} is an apocalyptic number.

10200212102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200212102201 is a deficient number, since it is larger than the sum of its proper divisors (1520118485959).

10200212102201 is a wasteful number, since it uses less digits than its factorization.

10200212102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827117.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10200212102201 its reverse (10220121200201), we get a palindrome (20420333302402).

The spelling of 10200212102201 in words is "ten trillion, two hundred billion, two hundred twelve million, one hundred two thousand, two hundred one".