102120112011220 has 12 divisors (see below), whose sum is σ = 214452235223604. Its totient is φ = 40848044804480.

The previous prime is 102120112011199. The next prime is 102120112011241. The reversal of 102120112011220 is 22110211021201.

It is an interprime number because it is at equal distance from previous prime (102120112011199) and next prime (102120112011241).

It can be written as a sum of positive squares in 2 ways, for example, as 30358645377424 + 71761466633796 = 5509868^2 + 8471214^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102120112011194 and 102120112011203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2553002800261 + ... + 2553002800300.

It is an arithmetic number, because the mean of its divisors is an integer number (17871019601967).

Almost surely, 2^{102120112011220} is an apocalyptic number.

102120112011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120112011220 is an abundant number, since it is smaller than the sum of its proper divisors (112332123212384).

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

102120112011220 is a wasteful number, since it uses less digits than its factorization.

102120112011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106005600570 (or 5106005600568 counting only the distinct ones).

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

Adding to 102120112011220 its reverse (22110211021201), we get a palindrome (124230323032421).

The spelling of 102120112011220 in words is "one hundred two trillion, one hundred twenty billion, one hundred twelve million, eleven thousand, two hundred twenty".