10211012212121 has 6 divisors (see below), whose sum is σ = 11878116246810. Its totient is φ = 8752296181776.

The previous prime is 10211012212097. The next prime is 10211012212129. The reversal of 10211012212121 is 12121221011201.

It can be written as a sum of positive squares in only one way, i.e., 10189757779600 + 21254432521 = 3192140^2 + 145789^2 .

It is not a de Polignac number, because 10211012212121 - 2⁶ = 10211012212057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10211012212121.

It is not an unprimeable number, because it can be changed into a prime (10211012212129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104194002116 + ... + 104194002213.

It is an arithmetic number, because the mean of its divisors is an integer number (1979686041135).

Almost surely, 2^{10211012212121} is an apocalyptic number.

It is an amenable number.

10211012212121 is a deficient number, since it is larger than the sum of its proper divisors (1667104034689).

10211012212121 is an equidigital number, since it uses as much as digits as its factorization.

10211012212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208388004343 (or 208388004336 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10211012212121 its reverse (12121221011201), we get a palindrome (22332233223322).

The spelling of 10211012212121 in words is "ten trillion, two hundred eleven billion, twelve million, two hundred twelve thousand, one hundred twenty-one".