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121023101100 = 22352111973137193
BaseRepresentation
bin111000010110110001…
…0011111100010101100
3102120101022022112100210
41300231202133202230
53440323403213400
6131333001022420
711513031246306
oct1605542374254
9376338275323
10121023101100
1147364427120
121b556484a10
13b549152335
145c01188976
153234beb950
hex1c2d89f8ac

121023101100 has 576 divisors, whose sum is σ = 412708584960. Its totient is φ = 27072921600.

The previous prime is 121023101077. The next prime is 121023101159. The reversal of 121023101100 is 1101320121.

121023101100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 627062604 + ... + 627062796.

It is an arithmetic number, because the mean of its divisors is an integer number (716507960).

Almost surely, 2121023101100 is an apocalyptic number.

121023101100 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 121023101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206354292480).

121023101100 is an abundant number, since it is smaller than the sum of its proper divisors (291685483860).

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

121023101100 is a wasteful number, since it uses less digits than its factorization.

121023101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

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

Adding to 121023101100 its reverse (1101320121), we get a palindrome (122124421221).

The spelling of 121023101100 in words is "one hundred twenty-one billion, twenty-three million, one hundred one thousand, one hundred".