102120100011020 has 192 divisors, whose sum is σ = 264343803902976. Its totient is φ = 32270055367680.

The previous prime is 102120100010983. The next prime is 102120100011047. The reversal of 102120100011020 is 20110001021201.

It is a junction number, because it is equal to n+sod(n) for n = 102120100010992 and 102120100011010.

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, 5133975275 + ... + 5133995165.

It is an arithmetic number, because the mean of its divisors is an integer number (1376790645328).

Almost surely, 2^{102120100011020} is an apocalyptic number.

102120100011020 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 102120100011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132171901951488).

102120100011020 is an abundant number, since it is smaller than the sum of its proper divisors (162223703891956).

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

102120100011020 is a wasteful number, since it uses less digits than its factorization.

102120100011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24080 (or 24078 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102120100011020 its reverse (20110001021201), we get a palindrome (122230101032221).

The spelling of 102120100011020 in words is "one hundred two trillion, one hundred twenty billion, one hundred million, eleven thousand, twenty".