10202102100211 has 16 divisors (see below), whose sum is σ = 11944619241984. Its totient is φ = 8531328060864.

The previous prime is 10202102100143. The next prime is 10202102100277. The reversal of 10202102100211 is 11200120120201.

It is not a de Polignac number, because 10202102100211 - 2⁷ = 10202102100083 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10202102100191 and 10202102100200.

It is not an unprimeable number, because it can be changed into a prime (10202102100011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19516855 + ... + 20032768.

It is an arithmetic number, because the mean of its divisors is an integer number (746538702624).

Almost surely, 2^{10202102100211} is an apocalyptic number.

10202102100211 is a deficient number, since it is larger than the sum of its proper divisors (1742517141773).

10202102100211 is an equidigital number, since it uses as much as digits as its factorization.

10202102100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39550530.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10202102100211 its reverse (11200120120201), we get a palindrome (21402222220412).

The spelling of 10202102100211 in words is "ten trillion, two hundred two billion, one hundred two million, one hundred thousand, two hundred eleven".