102102021120 has 352 divisors, whose sum is σ = 357232876416. Its totient is φ = 24684134400.

The previous prime is 102102021083. The next prime is 102102021127. The reversal of 102102021120 is 21120201201.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102102021096 and 102102021105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102021127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91406802 + ... + 91407918.

Almost surely, 2^102102021120 is an apocalyptic number.

102102021120 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 102102021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178616438208).

102102021120 is an abundant number, since it is smaller than the sum of its proper divisors (255130855296).

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

102102021120 is a wasteful number, since it uses less digits than its factorization.

102102021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102102021120 its reverse (21120201201), we get a palindrome (123222222321).

The spelling of 102102021120 in words is "one hundred two billion, one hundred two million, twenty-one thousand, one hundred twenty".