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2201021012100 = 2235247156100781
BaseRepresentation
bin100000000001110111000…
…100110101100010000100
321210102012221100022202110
4200001313010311202010
5242030142334341400
64403045102541020
7315006231625521
oct40016704654204
97712187308673
102201021012100
117794a1a87539
122b66a5597770
1312c72b269701
147875c3cc148
153c3c0dd3e50
hex20077135884

2201021012100 has 72 divisors (see below), whose sum is σ = 6503782981248. Its totient is φ = 574450870400.

The previous prime is 2201021012077. The next prime is 2201021012107. The reversal of 2201021012100 is 12101201022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2201021012107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78036291 + ... + 78064490.

It is an arithmetic number, because the mean of its divisors is an integer number (90330319184).

Almost surely, 22201021012100 is an apocalyptic number.

2201021012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201021012100 is an abundant number, since it is smaller than the sum of its proper divisors (4302761969148).

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

2201021012100 is a wasteful number, since it uses less digits than its factorization.

2201021012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156100845 (or 156100838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2201021012100 its reverse (12101201022), we get a palindrome (2213122213122).

The spelling of 2201021012100 in words is "two trillion, two hundred one billion, twenty-one million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100 156100781 312201562 468302343 624403124 780503905 936604686 1561007810 1873209372 2341511715 3122015620 3902519525 4683023430 7336736707 7805039050 9366046860 11707558575 14673473414 15610078100 22010210121 23415117150 29346946828 36683683535 44020420242 46830234300 73367367070 88040840484 110051050605 146734734140 183418417675 220102101210 366836835350 440204202420 550255253025 733673670700 1100510506050 2201021012100