102213021120 has 224 divisors, whose sum is σ = 371464490496. Its totient is φ = 23326617600.

The previous prime is 102213021109. The next prime is 102213021137. The reversal of 102213021120 is 21120312201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102213021120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4430415 + ... + 4453425.

Almost surely, 2^102213021120 is an apocalyptic number.

102213021120 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 102213021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185732245248).

102213021120 is an abundant number, since it is smaller than the sum of its proper divisors (269251469376).

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

102213021120 is a wasteful number, since it uses less digits than its factorization.

102213021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23699 (or 23689 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102213021120 its reverse (21120312201), we get a palindrome (123333333321).

The spelling of 102213021120 in words is "one hundred two billion, two hundred thirteen million, twenty-one thousand, one hundred twenty".