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1001021020101 = 32434316001433
BaseRepresentation
bin11101001000100011000…
…00001001011111000101
310112200210212122121202100
432210101200021133011
5112400042340120401
62043510202302313
7132215143165014
oct16442140113705
93480725577670
101001021020101
113565922a6463
12142007ab7999
137351b98554b
1436641ca6a7b
151b08b1eab86
hexe9118097c5

1001021020101 has 24 divisors (see below), whose sum is σ = 1482978347136. Its totient is φ = 650315171520.

The previous prime is 1001021020099. The next prime is 1001021020117. The reversal of 1001021020101 is 1010201201001.

It is a happy number.

It is not a de Polignac number, because 1001021020101 - 21 = 1001021020099 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001021020001) 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 23 ways as a sum of consecutive naturals, for example, 2833920 + ... + 3167513.

It is an arithmetic number, because the mean of its divisors is an integer number (61790764464).

Almost surely, 21001021020101 is an apocalyptic number.

It is an amenable number.

1001021020101 is a deficient number, since it is larger than the sum of its proper divisors (481957327035).

1001021020101 is a wasteful number, since it uses less digits than its factorization.

1001021020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001913 (or 6001910 counting only the distinct ones).

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

Adding to 1001021020101 its reverse (1010201201001), we get a palindrome (2011222221102).

The spelling of 1001021020101 in words is "one trillion, one billion, twenty-one million, twenty thousand, one hundred one".

Divisors: 1 3 9 43 129 387 431 1293 3879 18533 55599 166797 6001433 18004299 54012897 258061619 774184857 2322554571 2586617623 7759852869 23279558607 111224557789 333673673367 1001021020101