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121101010002 = 232711334924371
BaseRepresentation
bin111000011001000101…
…1101100010001010010
3102120120201220201021200
41300302023230101102
53441003324310002
6131344422532030
711514665413050
oct1606213542122
9376521821250
10121101010002
11473a43aa245
121b578597016
13b55c32c98b
145c0b6691d0
15323b98ab1c
hex1c322ec452

121101010002 has 96 divisors (see below), whose sum is σ = 303402153600. Its totient is φ = 34194424320.

The previous prime is 121101009977. The next prime is 121101010003. The reversal of 121101010002 is 200010101121.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (121101010003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4956877 + ... + 4981247.

It is an arithmetic number, because the mean of its divisors is an integer number (3160439100).

Almost surely, 2121101010002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121101010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151701076800).

121101010002 is an abundant number, since it is smaller than the sum of its proper divisors (182301143598).

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

121101010002 is a wasteful number, since it uses less digits than its factorization.

121101010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24848 (or 24845 counting only the distinct ones).

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

Adding to 121101010002 its reverse (200010101121), we get a palindrome (321111111123).

The spelling of 121101010002 in words is "one hundred twenty-one billion, one hundred one million, ten thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 349 678 698 791 1017 1047 1582 2034 2094 2373 2443 3141 4746 4886 6282 7119 7329 14238 14658 21987 24371 39437 43974 48742 73113 78874 118311 146226 170597 219339 236622 276059 341194 354933 438678 511791 552118 709866 828177 1023582 1535373 1656354 2484531 2753923 3070746 4969062 5507846 8261769 8505479 16523538 17010958 19277461 24785307 25516437 38554922 49570614 51032874 57832383 59538353 76549311 115664766 119076706 153098622 173497149 178615059 346994298 357230118 535845177 961119127 1071690354 1922238254 2883357381 5766714762 6727833889 8650072143 13455667778 17300144286 20183501667 40367003334 60550505001 121101010002