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1001012201021 = 72161831262363
BaseRepresentation
bin11101001000100001111…
…10100000011000111101
310112200210021001120020202
432210100332200120331
5112400033110413041
62043505245253245
7132215005214300
oct16442076403075
93480707046222
101001012201021
11356588322568
12142004b64225
1373519bb8361
1436640a4cb37
151b08a557a9b
hexe910fa063d

1001012201021 has 12 divisors (see below), whose sum is σ = 1164515641632. Its totient is φ = 857956759128.

The previous prime is 1001012201003. The next prime is 1001012201023. The reversal of 1001012201021 is 1201022101001.

It is not a de Polignac number, because 1001012201021 - 218 = 1001011938877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001012200993 and 1001012201011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001012201023) 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 11 ways as a sum of consecutive naturals, for example, 161786 + ... + 1424148.

It is an arithmetic number, because the mean of its divisors is an integer number (97042970136).

Almost surely, 21001012201021 is an apocalyptic number.

It is an amenable number.

1001012201021 is a deficient number, since it is larger than the sum of its proper divisors (163503440611).

1001012201021 is a wasteful number, since it uses less digits than its factorization.

1001012201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278560 (or 1278553 counting only the distinct ones).

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

Adding to 1001012201021 its reverse (1201022101001), we get a palindrome (2202034302022).

The spelling of 1001012201021 in words is "one trillion, one billion, twelve million, two hundred one thousand, twenty-one".

Divisors: 1 7 49 16183 113281 792967 1262363 8836541 61855787 20428820429 143001743003 1001012201021