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100012101021 = 3274733776461
BaseRepresentation
bin101110100100100101…
…1111000110110011101
3100120011000102010201200
41131021023320312131
53114311044213041
6113540034230113
710140251555310
oct1351113706635
9316130363650
10100012101021
1139462250848
1217471a25339
13957b188701
144baa8d0977
15290532a1b6
hex17492f8d9d

100012101021 has 24 divisors (see below), whose sum is σ = 168612098304. Its totient is φ = 55933817760.

The previous prime is 100012101019. The next prime is 100012101053. The reversal of 100012101021 is 120101210001.

It is a happy number.

It is not a de Polignac number, because 100012101021 - 21 = 100012101019 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100012100994 and 100012101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012101121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16885270 + ... + 16891191.

It is an arithmetic number, because the mean of its divisors is an integer number (7025504096).

Almost surely, 2100012101021 is an apocalyptic number.

It is an amenable number.

100012101021 is a deficient number, since it is larger than the sum of its proper divisors (68599997283).

100012101021 is a wasteful number, since it uses less digits than its factorization.

100012101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33776521 (or 33776518 counting only the distinct ones).

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

Adding to 100012101021 its reverse (120101210001), we get a palindrome (220113311022).

The spelling of 100012101021 in words is "one hundred billion, twelve million, one hundred one thousand, twenty-one".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 2961 33776461 101329383 236435227 303988149 709305681 1587493667 2127917043 4762481001 11112455669 14287443003 33337367007 100012101021