10200201022121 has 6 divisors (see below), whose sum is σ = 11211791206266. Its totient is φ = 9272910020000.

The previous prime is 10200201022091. The next prime is 10200201022153. The reversal of 10200201022121 is 12122010200201.

It can be written as a sum of positive squares in only one way, i.e., 8886426582121 + 1313774440000 = 2981011^2 + 1146200^2 .

It is not a de Polignac number, because 10200201022121 - 2¹⁴ = 10200201005737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10200201022096 and 10200201022105.

It is not an unprimeable number, because it can be changed into a prime (10200291022121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42149590880 + ... + 42149591121.

It is an arithmetic number, because the mean of its divisors is an integer number (1868631867711).

Almost surely, 2^{10200201022121} is an apocalyptic number.

10200201022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200201022121 is a deficient number, since it is larger than the sum of its proper divisors (1011590184145).

10200201022121 is an equidigital number, since it uses as much as digits as its factorization.

10200201022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84299182023 (or 84299182012 counting only the distinct ones).

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

Adding to 10200201022121 its reverse (12122010200201), we get a palindrome (22322211222322).

The spelling of 10200201022121 in words is "ten trillion, two hundred billion, two hundred one million, twenty-two thousand, one hundred twenty-one".