102020101120 has 132 divisors (see below), whose sum is σ = 284685092100. Its totient is φ = 34978234368.

The previous prime is 102020101097. The next prime is 102020101129. The reversal of 102020101120 is 21101020201.

It can be written as a sum of positive squares in 2 ways, for example, as 69746697216 + 32273403904 = 264096^2 + 179648^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102020101097 and 102020101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020101129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47556 + ... + 454204.

Almost surely, 2^102020101120 is an apocalyptic number.

102020101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142342546050).

102020101120 is an abundant number, since it is smaller than the sum of its proper divisors (182664990980).

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

102020101120 is an equidigital number, since it uses as much as digits as its factorization.

102020101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406688 (or 406663 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102020101120 its reverse (21101020201), we get a palindrome (123121121321).

The spelling of 102020101120 in words is "one hundred two billion, twenty million, one hundred one thousand, one hundred twenty".