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102110102100 = 2232521953611847
BaseRepresentation
bin101111100011000111…
…1001000001001010100
3100202120020011122011100
41133012033020021110
53133110141231400
6114524141510100
710243245355446
oct1370617101124
9322506148140
10102110102100
113a339544036
1217958572330
139823a26776
144d293ba496
1529c95ea100
hex17c63c8254

102110102100 has 432 divisors, whose sum is σ = 349076407680. Its totient is φ = 24881126400.

The previous prime is 102110102071. The next prime is 102110102113. The reversal of 102110102100 is 1201011201.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55283377 + ... + 55285223.

It is an arithmetic number, because the mean of its divisors is an integer number (808047240).

Almost surely, 2102110102100 is an apocalyptic number.

102110102100 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 102110102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174538203840).

102110102100 is an abundant number, since it is smaller than the sum of its proper divisors (246966305580).

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

102110102100 is a wasteful number, since it uses less digits than its factorization.

102110102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102110102100 its reverse (1201011201), we get a palindrome (103311113301).

The spelling of 102110102100 in words is "one hundred two billion, one hundred ten million, one hundred two thousand, one hundred".