102201221221121 has 8 divisors (see below), whose sum is σ = 111675918837504. Its totient is φ = 92757136522320.

The previous prime is 102201221221093. The next prime is 102201221221249. The reversal of 102201221221121 is 121122122102201.

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 102201221221121 - 2¹⁴ = 102201221204737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102201221221093 and 102201221221102.

It is not an unprimeable number, because it can be changed into a prime (102201221221321) 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, 7653222410 + ... + 7653235763.

It is an arithmetic number, because the mean of its divisors is an integer number (13959489854688).

Almost surely, 2^{102201221221121} is an apocalyptic number.

102201221221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201221221121 is a deficient number, since it is larger than the sum of its proper divisors (9474697616383).

102201221221121 is a wasteful number, since it uses less digits than its factorization.

102201221221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15306458791.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102201221221121 its reverse (121122122102201), we get a palindrome (223323343323322).

The spelling of 102201221221121 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".