102202120101121 has 8 divisors (see below), whose sum is σ = 109583807109120. Its totient is φ = 94972632825408.

The previous prime is 102202120101077. The next prime is 102202120101161. The reversal of 102202120101121 is 121101021202201.

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 102202120101121 - 2⁹ = 102202120100609 is a prime.

It is a super-2 number, since 2×102202120101121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102202120101095 and 102202120101104.

It is not an unprimeable number, because it can be changed into a prime (102202120101161) 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, 38049931681 + ... + 38049934366.

It is an arithmetic number, because the mean of its divisors is an integer number (13697975888640).

Almost surely, 2^{102202120101121} is an apocalyptic number.

It is an amenable number.

102202120101121 is a deficient number, since it is larger than the sum of its proper divisors (7381687007999).

102202120101121 is an equidigital number, since it uses as much as digits as its factorization.

102202120101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76099866143.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102202120101121 its reverse (121101021202201), we get a palindrome (223303141303322).

The spelling of 102202120101121 in words is "one hundred two trillion, two hundred two billion, one hundred twenty million, one hundred one thousand, one hundred twenty-one".