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100021210010001 = 32741181213938587
BaseRepresentation
bin10110101111100000000000…
…101100010101000110010001
3111010010221020002200200012200
4112233200000230111012101
5101102221414230310001
6552421035354513413
730032202553225140
oct2657400054250621
9433127202620180
10100021210010001
1129962836559665
12b274944a35869
1343a6c6240b317
141a9b0a3ab1757
15b86bab8a2086
hex5af800b15191

100021210010001 has 48 divisors (see below), whose sum is σ = 170076042933888. Its totient is φ = 55452881491200.

The previous prime is 100021210009937. The next prime is 100021210010003. The reversal of 100021210010001 is 100010012120001.

It is a happy number.

It is not a de Polignac number, because 100021210010001 - 26 = 100021210009937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100021210010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106501771 + ... + 107436816.

It is an arithmetic number, because the mean of its divisors is an integer number (3543250894456).

Almost surely, 2100021210010001 is an apocalyptic number.

It is an amenable number.

100021210010001 is a deficient number, since it is larger than the sum of its proper divisors (70054832923887).

100021210010001 is a wasteful number, since it uses less digits than its factorization.

100021210010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213938822 (or 213938819 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100021210010001 its reverse (100010012120001), we get a palindrome (200031222130002).

The spelling of 100021210010001 in words is "one hundred trillion, twenty-one billion, two hundred ten million, ten thousand, one".

Divisors: 1 3 7 9 21 41 63 123 181 287 369 543 861 1267 1629 2583 3801 7421 11403 22263 51947 66789 155841 467523 213938587 641815761 1497570109 1925447283 4492710327 8771482067 13478130981 26314446201 38722884247 61400374469 78943338603 116168652741 184201123407 271060189729 348505958223 552603370221 813180569187 1587638254127 2439541707561 4762914762381 11113467778889 14288744287143 33340403336667 100021210010001