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1022201110100 = 225283563122327
BaseRepresentation
bin11101101111111111110…
…11110001111001010100
310121201110221201200011002
432313333323301321110
5113221431441010400
62101332005202432
7133565045034362
oct16677773617124
93551427650132
101022201110100
11364570972575
12146139100418
13755159a3191
1437690bb8632
151b8ca86ced5
hexedffef1e54

1022201110100 has 36 divisors (see below), whose sum is σ = 2218221087264. Its totient is φ = 408872208480.

The previous prime is 1022201110097. The next prime is 1022201110103. The reversal of 1022201110100 is 10111022201.

It is an interprime number because it is at equal distance from previous prime (1022201110097) and next prime (1022201110103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022201110103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8295137 + ... + 8417463.

It is an arithmetic number, because the mean of its divisors is an integer number (61617252424).

Almost surely, 21022201110100 is an apocalyptic number.

1022201110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022201110100 is an abundant number, since it is smaller than the sum of its proper divisors (1196019977164).

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

1022201110100 is a wasteful number, since it uses less digits than its factorization.

1022201110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205904 (or 205897 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1022201110100 its reverse (10111022201), we get a palindrome (1032312132301).

The spelling of 1022201110100 in words is "one trillion, twenty-two billion, two hundred one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 83563 122327 167126 244654 334252 417815 489308 611635 835630 1223270 1671260 2089075 2446540 3058175 4178150 6116350 8356300 12232700 10222011101 20444022202 40888044404 51110055505 102220111010 204440222020 255550277525 511100555050 1022201110100