102220012121121 has 12 divisors (see below), whose sum is σ = 147979973009700. Its totient is φ = 67994900413440.

The previous prime is 102220012121089. The next prime is 102220012121131. The reversal of 102220012121121 is 121121210022201.

It can be written as a sum of positive squares in 2 ways, for example, as 43710133940496 + 58509878180625 = 6611364^2 + 7649175^2 .

It is not a de Polignac number, because 102220012121121 - 2⁵ = 102220012121089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102220012121094 and 102220012121103.

It is not an unprimeable number, because it can be changed into a prime (102220012121131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12647856900 + ... + 12647864981.

It is an arithmetic number, because the mean of its divisors is an integer number (12331664417475).

Almost surely, 2^{102220012121121} is an apocalyptic number.

It is an amenable number.

102220012121121 is a deficient number, since it is larger than the sum of its proper divisors (45759960888579).

102220012121121 is a wasteful number, since it uses less digits than its factorization.

102220012121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25295722336 (or 25295722333 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102220012121121 its reverse (121121210022201), we get a palindrome (223341222143322).

The spelling of 102220012121121 in words is "one hundred two trillion, two hundred twenty billion, twelve million, one hundred twenty-one thousand, one hundred twenty-one".