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100212202202100 = 223522811188756847
BaseRepresentation
bin10110110010010001111000…
…101101101110001111110100
3111010211012012200012022021020
4112302101320231232033310
5101113334042230431400
6553044503344221140
730052043535121422
oct2662217055561764
9433735180168236
10100212202202100
1129a2683568641a
12b2a596790a7b0
1343bbc7c475341
141aa6421708112
15b8bb391062a0
hex5b2478b6e3f4

100212202202100 has 72 divisors (see below), whose sum is σ = 290979146226048. Its totient is φ = 26628153350400.

The previous prime is 100212202202087. The next prime is 100212202202141. The reversal of 100212202202100 is 1202202212001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100212202202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594294124 + ... + 594462723.

Almost surely, 2100212202202100 is an apocalyptic number.

100212202202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212202202100 is an abundant number, since it is smaller than the sum of its proper divisors (190766944023948).

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

100212202202100 is a wasteful number, since it uses less digits than its factorization.

100212202202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188757145 (or 1188757138 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100212202202100 its reverse (1202202212001), we get a palindrome (101414404414101).

Subtracting from 100212202202100 its reverse (1202202212001), we obtain a palindrome (99009999990099).

The spelling of 100212202202100 in words is "one hundred trillion, two hundred twelve billion, two hundred two million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 281 300 562 843 1124 1405 1686 2810 3372 4215 5620 7025 8430 14050 16860 21075 28100 42150 84300 1188756847 2377513694 3566270541 4755027388 5943784235 7132541082 11887568470 14265082164 17831352705 23775136940 29718921175 35662705410 59437842350 71325410820 89156763525 118875684700 178313527050 334040674007 356627054100 668081348014 1002122022021 1336162696028 1670203370035 2004244044042 3340406740070 4008488088084 5010610110105 6680813480140 8351016850175 10021220220210 16702033700350 20042440440420 25053050550525 33404067400700 50106101101050 100212202202100