102123313020 has 144 divisors (see below), whose sum is σ = 323065037568. Its totient is φ = 26082570240.

The previous prime is 102123313003. The next prime is 102123313021. The reversal of 102123313020 is 20313321201.

102123313020 is a `hidden beast` number, since 10 + 21 + 2 + 331 + 302 + 0 = 666.

102123313020 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102123312984 and 102123313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123313021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446922 + ... + 635598.

Almost surely, 2^102123313020 is an apocalyptic number.

102123313020 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 102123313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161532518784).

102123313020 is an abundant number, since it is smaller than the sum of its proper divisors (220941724548).

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

102123313020 is a wasteful number, since it uses less digits than its factorization.

102123313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188820 (or 188815 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102123313020 its reverse (20313321201), we get a palindrome (122436634221).

The spelling of 102123313020 in words is "one hundred two billion, one hundred twenty-three million, three hundred thirteen thousand, twenty".