102121220120202 has 96 divisors (see below), whose sum is σ = 246612277192320. Its totient is φ = 30351355223040.

The previous prime is 102121220120201. The next prime is 102121220120203. The reversal of 102121220120202 is 202021022121201.

It is a happy number.

102121220120202 is a `hidden beast` number, since 1 + 0 + 2 + 121 + 220 + 120 + 202 = 666.

It is an interprime number because it is at equal distance from previous prime (102121220120201) and next prime (102121220120203).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102121220120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669830302 + ... + 669982742.

It is an arithmetic number, because the mean of its divisors is an integer number (2568877887420).

Almost surely, 2^{102121220120202} is an apocalyptic number.

102121220120202 is an abundant number, since it is smaller than the sum of its proper divisors (144491057072118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121220120202 is a wasteful number, since it uses less digits than its factorization.

102121220120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267708 (or 267705 counting only the distinct ones).

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

Adding to 102121220120202 its reverse (202021022121201), we get a palindrome (304142242241403).

The spelling of 102121220120202 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty thousand, two hundred two".