102120001120220 has 24 divisors (see below), whose sum is σ = 217967608951008. Its totient is φ = 40178361096000.

The previous prime is 102120001120211. The next prime is 102120001120229. The reversal of 102120001120220 is 22021100021201.

It is an interprime number because it is at equal distance from previous prime (102120001120211) and next prime (102120001120229).

It is a junction number, because it is equal to n+sod(n) for n = 102120001120195 and 102120001120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120001120229) 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 7 ways as a sum of consecutive naturals, for example, 41852458256 + ... + 41852460695.

It is an arithmetic number, because the mean of its divisors is an integer number (9081983706292).

Almost surely, 2^{102120001120220} is an apocalyptic number.

102120001120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120001120220 is an abundant number, since it is smaller than the sum of its proper divisors (115847607830788).

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

102120001120220 is a wasteful number, since it uses less digits than its factorization.

102120001120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83704919021 (or 83704919019 counting only the distinct ones).

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

Adding to 102120001120220 its reverse (22021100021201), we get a palindrome (124141101141421).

The spelling of 102120001120220 in words is "one hundred two trillion, one hundred twenty billion, one million, one hundred twenty thousand, two hundred twenty".