102120110221120 has 56 divisors (see below), whose sum is σ = 243469704944808. Its totient is φ = 40798289971200.

The previous prime is 102120110221097. The next prime is 102120110221121. The reversal of 102120110221120 is 21122011021201.

It can be written as a sum of positive squares in 4 ways, for example, as 80696901184 + 102039413319936 = 284072^2 + 10101456^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102120110221094 and 102120110221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120110221121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194088891 + ... + 194614330.

Almost surely, 2^{102120110221120} is an apocalyptic number.

102120110221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120110221120 is an abundant number, since it is smaller than the sum of its proper divisors (141349594723688).

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

102120110221120 is an equidigital number, since it uses as much as digits as its factorization.

102120110221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388704059 (or 388704049 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102120110221120 its reverse (21122011021201), we get a palindrome (123242121242321).

The spelling of 102120110221120 in words is "one hundred two trillion, one hundred twenty billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty".