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101222201201100 = 22352748201048191
BaseRepresentation
bin10111000000111110100001…
…010110001001000111001100
3111021101202012020111111202120
4113000332201112021013030
5101231411032001413400
6555140500504052540
730215030336013150
oct2700764126110714
9437352166444676
10101222201201100
112a2861047a2251
12b42965a464150
13446329c16a825
141add275ad3060
15ba804d5cdca0
hex5c0fa15891cc

101222201201100 has 72 divisors (see below), whose sum is σ = 334708078645248. Its totient is φ = 23136503131200.

The previous prime is 101222201201081. The next prime is 101222201201111. The reversal of 101222201201100 is 1102102222101.

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 101222201201100.

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, 24100521996 + ... + 24100526195.

Almost surely, 2101222201201100 is an apocalyptic number.

101222201201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222201201100 is an abundant number, since it is smaller than the sum of its proper divisors (233485877444148).

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

101222201201100 is a wasteful number, since it uses less digits than its factorization.

101222201201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48201048215 (or 48201048208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101222201201100 its reverse (1102102222101), we get a palindrome (102324303423201).

The spelling of 101222201201100 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred one million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 48201048191 96402096382 144603144573 192804192764 241005240955 289206289146 337407337337 482010481910 578412578292 674814674674 723015722865 964020963820 1012222012011 1205026204775 1349629349348 1446031445730 1687036686685 2024444024022 2410052409550 2892062891460 3374073373370 3615078614325 4048888048044 4820104819100 5061110060055 6748146746740 7230157228650 8435183433425 10122220120110 14460314457300 16870366866850 20244440240220 25305550300275 33740733733700 50611100600550 101222201201100