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102021120 = 21135541
BaseRepresentation
bin1100001010010…
…11100000000000
321002222012200000
412011023200000
5202104133440
614042400000
72346110445
oct605134000
9232865600
10102021120
1152651a83
122a200000
13181a0736
14d7999cc
158e53730
hex614b800

102021120 has 288 divisors, whose sum is σ = 375626160. Its totient is φ = 26542080.

The previous prime is 102021113. The next prime is 102021133. The reversal of 102021120 is 21120201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2488300 + ... + 2488340.

Almost surely, 2102021120 is an apocalyptic number.

102021120 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 102021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187813080).

102021120 is an abundant number, since it is smaller than the sum of its proper divisors (273605040).

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

102021120 is an frugal number, since it uses more digits than its factorization.

102021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102021120 is about 10100.5504800481. The cubic root of 102021120 is about 467.2651188397.

Adding to 102021120 its reverse (21120201), we get a palindrome (123141321).

The spelling of 102021120 in words is "one hundred two million, twenty-one thousand, one hundred twenty".