101202021222121 has 16 divisors (see below), whose sum is σ = 102236334005520. Its totient is φ = 100172162350080.

The previous prime is 101202021222067. The next prime is 101202021222139. The reversal of 101202021222121 is 121222120202101.

It can be written as a sum of positive squares in 8 ways, for example, as 8680919395600 + 92521101826521 = 2946340^2 + 9618789^2 .

It is a cyclic number.

It is not a de Polignac number, because 101202021222121 - 2²³ = 101202012833513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101202021226121) 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 15 ways as a sum of consecutive naturals, for example, 162819685 + ... + 163440061.

It is an arithmetic number, because the mean of its divisors is an integer number (6389770875345).

Almost surely, 2^{101202021222121} is an apocalyptic number.

It is an amenable number.

101202021222121 is a deficient number, since it is larger than the sum of its proper divisors (1034312783399).

101202021222121 is a wasteful number, since it uses less digits than its factorization.

101202021222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623964.

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

Adding to 101202021222121 its reverse (121222120202101), we get a palindrome (222424141424222).

The spelling of 101202021222121 in words is "one hundred one trillion, two hundred two billion, twenty-one million, two hundred twenty-two thousand, one hundred twenty-one".