102000220102121 has 16 divisors (see below), whose sum is σ = 113489216417088. Its totient is φ = 90884202302400.

The previous prime is 102000220102117. The next prime is 102000220102139. The reversal of 102000220102121 is 121201022000201.

It is a cyclic number.

It is not a de Polignac number, because 102000220102121 - 2² = 102000220102117 is a prime.

It is a super-2 number, since 2×102000220102121² (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 = 102000220102096 and 102000220102105.

It is not an unprimeable number, because it can be changed into a prime (102000220102141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89525306 + ... + 90657491.

It is an arithmetic number, because the mean of its divisors is an integer number (7093076026068).

Almost surely, 2^{102000220102121} is an apocalyptic number.

102000220102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102000220102121 is a deficient number, since it is larger than the sum of its proper divisors (11488996314967).

102000220102121 is a wasteful number, since it uses less digits than its factorization.

102000220102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180183832.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102000220102121 its reverse (121201022000201), we get a palindrome (223201242102322).

The spelling of 102000220102121 in words is "one hundred two trillion, two hundred twenty million, one hundred two thousand, one hundred twenty-one".