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121002210100 = 225231367310627
BaseRepresentation
bin111000010110001001…
…0110011001100110100
3102120022212000011022001
41300230102303030310
53440303031210400
6131330533145044
711512355546512
oct1605422631464
9376285004261
10121002210100
1147353658432
121b54b48b184
13b544a194b5
145bdc4ab4b2
153232e71a6a
hex1c2c4b3334

121002210100 has 72 divisors (see below), whose sum is σ = 271144256768. Its totient is φ = 46822406400.

The previous prime is 121002210089. The next prime is 121002210167. The reversal of 121002210100 is 1012200121.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 11380987 + ... + 11391613.

Almost surely, 2121002210100 is an apocalyptic number.

121002210100 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 121002210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135572128384).

121002210100 is an abundant number, since it is smaller than the sum of its proper divisors (150142046668).

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

121002210100 is a wasteful number, since it uses less digits than its factorization.

121002210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14345 (or 14338 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121002210100 its reverse (1012200121), we get a palindrome (122014410221).

The spelling of 121002210100 in words is "one hundred twenty-one billion, two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 3673 7346 10627 14692 18365 21254 36730 42508 53135 73460 91825 106270 113863 183650 212540 227726 265675 329437 367300 455452 531350 569315 658874 1062700 1138630 1317748 1647185 2277260 2846575 3294370 5693150 6588740 8235925 11386300 16471850 32943700 39032971 78065942 156131884 195164855 390329710 780659420 975824275 1210022101 1951648550 2420044202 3903297100 4840088404 6050110505 12100221010 24200442020 30250552525 60501105050 121002210100