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100121212000 = 2553127197089
BaseRepresentation
bin101110100111110110…
…0000111010001100000
3100120102121201112212001
41131033230013101200
53120022012241000
6113554533013344
710143045155155
oct1351754072140
9316377645761
10100121212000
11395088a5507
12174a2484254
13959796c214
144bbb1b422c
15290ebce46a
hex174fb07460

100121212000 has 96 divisors (see below), whose sum is σ = 247936066560. Its totient is φ = 39732940800.

The previous prime is 100121211977. The next prime is 100121212031. The reversal of 100121212000 is 212121001.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409456 + ... + 606544.

It is an arithmetic number, because the mean of its divisors is an integer number (2582667360).

Almost surely, 2100121212000 is an apocalyptic number.

100121212000 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 100121212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123968033280).

100121212000 is an abundant number, since it is smaller than the sum of its proper divisors (147814854560).

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

100121212000 is a wasteful number, since it uses less digits than its factorization.

100121212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197241 (or 197223 counting only the distinct ones).

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

Adding to 100121212000 its reverse (212121001), we get a palindrome (100333333001).

Subtracting from 100121212000 its reverse (212121001), we obtain a palindrome (99909090999).

The spelling of 100121212000 in words is "one hundred billion, one hundred twenty-one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 127 160 200 250 254 400 500 508 635 800 1000 1016 1270 2000 2032 2540 3175 4000 4064 5080 6350 10160 12700 15875 20320 25400 31750 50800 63500 101600 127000 197089 254000 394178 508000 788356 985445 1576712 1970890 3153424 3941780 4927225 6306848 7883560 9854450 15767120 19708900 24636125 25030303 31534240 39417800 49272250 50060606 78835600 98544500 100121212 125151515 157671200 197089000 200242424 250303030 394178000 400484848 500606060 625757575 788356000 800969696 1001212120 1251515150 2002424240 2503030300 3128787875 4004848480 5006060600 6257575750 10012121200 12515151500 20024242400 25030303000 50060606000 100121212000