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121102100 = 225271131531
BaseRepresentation
bin1110011011111…
…01111100010100
322102212121211222
413031331330110
5222000231400
620003345512
73000231230
oct715757424
9272777758
10121102100
11623a4889
1234682298
131c121762
14121255c0
15a972185
hex737df14

121102100 has 72 divisors (see below), whose sum is σ = 303188928. Its totient is φ = 41126400.

The previous prime is 121102049. The next prime is 121102129. The reversal of 121102100 is 1201121.

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, 78335 + ... + 79865.

Almost surely, 2121102100 is an apocalyptic number.

121102100 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 121102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151594464).

121102100 is an abundant number, since it is smaller than the sum of its proper divisors (182086828).

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

121102100 is a wasteful number, since it uses less digits than its factorization.

121102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 121102100 is about 11004.6399305020. The cubic root of 121102100 is about 494.7478224394.

Adding to 121102100 its reverse (1201121), we get a palindrome (122303221).

The spelling of 121102100 in words is "one hundred twenty-one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 113 140 175 226 350 452 565 700 791 1130 1531 1582 2260 2825 3062 3164 3955 5650 6124 7655 7910 10717 11300 15310 15820 19775 21434 30620 38275 39550 42868 53585 76550 79100 107170 153100 173003 214340 267925 346006 535850 692012 865015 1071700 1211021 1730030 2422042 3460060 4325075 4844084 6055105 8650150 12110210 17300300 24220420 30275525 60551050 121102100