102212202012121 has 8 divisors (see below), whose sum is σ = 104705506337544. Its totient is φ = 99718913105280.

The previous prime is 102212202012103. The next prime is 102212202012127. The reversal of 102212202012121 is 121210202212201.

It can be written as a sum of positive squares in 4 ways, for example, as 5847744440521 + 96364457571600 = 2418211^2 + 9816540^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102212202012121 - 2⁹ = 102212202011609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102212202012127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10181215 + ... + 17552251.

It is an arithmetic number, because the mean of its divisors is an integer number (13088188292193).

Almost surely, 2^{102212202012121} is an apocalyptic number.

It is an amenable number.

102212202012121 is a deficient number, since it is larger than the sum of its proper divisors (2493304325423).

102212202012121 is an equidigital number, since it uses as much as digits as its factorization.

102212202012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7709291.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102212202012121 its reverse (121210202212201), we get a palindrome (223422404224322).

The spelling of 102212202012121 in words is "one hundred two trillion, two hundred twelve billion, two hundred two million, twelve thousand, one hundred twenty-one".