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1012021202001 = 373101137337991
BaseRepresentation
bin11101011101000010010…
…10100000110001010001
310120202012111102202111210
432232201022200301101
5113040104411431001
62052525514330333
7133054554166125
oct16564112406121
93522174382453
101012021202001
11360217648987
12144177a299a9
1374582944914
1436da6bc3585
151b4d1cc3dd6
hexeba12a0c51

1012021202001 has 64 divisors (see below), whose sum is σ = 1397009442816. Its totient is φ = 651442176000.

The previous prime is 1012021201993. The next prime is 1012021202063. The reversal of 1012021202001 is 1002021202101.

It is not a de Polignac number, because 1012021202001 - 23 = 1012021201993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012021203001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1021211616 + ... + 1021212606.

It is an arithmetic number, because the mean of its divisors is an integer number (21828272544).

Almost surely, 21012021202001 is an apocalyptic number.

It is an amenable number.

1012021202001 is a deficient number, since it is larger than the sum of its proper divisors (384988240815).

1012021202001 is a wasteful number, since it uses less digits than its factorization.

1012021202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642.

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

Adding to 1012021202001 its reverse (1002021202101), we get a palindrome (2014042404102).

The spelling of 1012021202001 in words is "one trillion, twelve billion, twenty-one million, two hundred two thousand, one".

Divisors: 1 3 73 101 137 219 303 337 411 991 1011 2973 7373 10001 13837 22119 24601 30003 34037 41511 46169 72343 73803 100091 102111 135767 138507 217029 300273 333967 407301 1001901 1010101 2484701 3030303 3370337 4663069 7306643 7454103 9910991 10111011 13712467 13989207 21919929 24379591 29732973 33730667 41137401 45753479 73138773 101192001 137260437 340404037 1001010091 1021212111 2462338691 3003030273 3340003967 4621101379 7387016073 10020011901 13863304137 337340400667 1012021202001