102020000110120 has 256 divisors, whose sum is σ = 239929209000000. Its totient is φ = 38993890639872.

The previous prime is 102020000110109. The next prime is 102020000110243. The reversal of 102020000110120 is 21011000020201.

It can be written as a sum of positive squares in 32 ways, for example, as 8161454794276 + 93858545315844 = 2856826^2 + 9688062^2 .

It is a super-3 number, since 3×102020000110120³ (a number of 43 digits) contains 333 as substring.

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 = 102020000110097 and 102020000110106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39103103376 + ... + 39103105984.

Almost surely, 2^{102020000110120} is an apocalyptic number.

102020000110120 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 102020000110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119964604500000).

102020000110120 is an abundant number, since it is smaller than the sum of its proper divisors (137909208889880).

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

102020000110120 is a wasteful number, since it uses less digits than its factorization.

102020000110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3676 counting only the distinct ones).

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

Adding to 102020000110120 its reverse (21011000020201), we get a palindrome (123031000130321).

The spelling of 102020000110120 in words is "one hundred two trillion, twenty billion, one hundred ten thousand, one hundred twenty".