102001220222121 has 24 divisors (see below), whose sum is σ = 165073227818304. Its totient is φ = 60148139686560.

The previous prime is 102001220221889. The next prime is 102001220222123. The reversal of 102001220222121 is 121222022100201.

It is a happy number.

102001220222121 is a `hidden beast` number, since 1 + 0 + 200 + 1 + 220 + 2 + 221 + 21 = 666.

It is not a de Polignac number, because 102001220222121 - 2¹⁵ = 102001220189353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102001220222094 and 102001220222103.

It is not an unprimeable number, because it can be changed into a prime (102001220222123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13923176821 + ... + 13923184146.

It is an arithmetic number, because the mean of its divisors is an integer number (6878051159096).

Almost surely, 2^{102001220222121} is an apocalyptic number.

102001220222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102001220222121 is a deficient number, since it is larger than the sum of its proper divisors (63072007596183).

102001220222121 is a wasteful number, since it uses less digits than its factorization.

102001220222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27846361021 (or 27846361018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102001220222121 its reverse (121222022100201), we get a palindrome (223223242322322).

The spelling of 102001220222121 in words is "one hundred two trillion, one billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twenty-one".