102210121112121 has 48 divisors (see below), whose sum is σ = 169258076370240. Its totient is φ = 58869665688960.

The previous prime is 102210121112107. The next prime is 102210121112149. The reversal of 102210121112121 is 121211121012201.

It is a happy number.

102210121112121 is a `hidden beast` number, since 102 + 210 + 1 + 211 + 121 + 21 = 666.

It is not a de Polignac number, because 102210121112121 - 2²⁶ = 102210054003257 is a prime.

It is a super-3 number, since 3×102210121112121³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210121112094 and 102210121112103.

It is not an unprimeable number, because it can be changed into a prime (102210121112161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324300526 + ... + 324615543.

It is an arithmetic number, because the mean of its divisors is an integer number (3526209924380).

Almost surely, 2^{102210121112121} is an apocalyptic number.

102210121112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102210121112121 is a deficient number, since it is larger than the sum of its proper divisors (67047955258119).

102210121112121 is a wasteful number, since it uses less digits than its factorization.

102210121112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648916166 (or 648916163 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102210121112121 its reverse (121211121012201), we get a palindrome (223421242124322).

The spelling of 102210121112121 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty-one".