102121102121 has 8 divisors (see below), whose sum is σ = 103143628488. Its totient is φ = 101098800000.

The previous prime is 102121102117. The next prime is 102121102123. The reversal of 102121102121 is 121201121201.

It can be written as a sum of positive squares in 4 ways, for example, as 37330490521 + 64790611600 = 193211^2 + 254540^2 .

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 102121102121 - 2² = 102121102117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102121102096 and 102121102105.

It is not an unprimeable number, because it can be changed into a prime (102121102123) 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, 948941 + ... + 1051061.

It is an arithmetic number, because the mean of its divisors is an integer number (12892953561).

Almost surely, 2^102121102121 is an apocalyptic number.

It is an amenable number.

102121102121 is a deficient number, since it is larger than the sum of its proper divisors (1022526367).

102121102121 is a wasteful number, since it uses less digits than its factorization.

102121102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112123.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102121102121 its reverse (121201121201), we get a palindrome (223322223322).

The spelling of 102121102121 in words is "one hundred two billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-one".