102021212211121 has 6 divisors (see below), whose sum is σ = 118677736653810. Its totient is φ = 87446753323776.

The previous prime is 102021212211103. The next prime is 102021212211133. The reversal of 102021212211121 is 121112212120201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99329906340721 + 2691305870400 = 9966439^2 + 1640520^2 .

It is not a de Polignac number, because 102021212211121 - 2²¹ = 102021210113969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102021212211101) 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, 1041032777616 + ... + 1041032777713.

It is an arithmetic number, because the mean of its divisors is an integer number (19779622775635).

Almost surely, 2^{102021212211121} is an apocalyptic number.

It is an amenable number.

102021212211121 is a deficient number, since it is larger than the sum of its proper divisors (16656524442689).

102021212211121 is an equidigital number, since it uses as much as digits as its factorization.

102021212211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082065555343 (or 2082065555336 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102021212211121 its reverse (121112212120201), we get a palindrome (223133424331322).

The spelling of 102021212211121 in words is "one hundred two trillion, twenty-one billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-one".