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100020120201 = 32431571164513
BaseRepresentation
bin101110100100110101…
…0011110101010001001
3100120011120111112222100
41131021222132222021
53114320122321301
6113540522144013
710140406664661
oct1351152365211
9316146445870
10100020120201
1139466828771
1217474652009
13957ca357a1
144bab9bb1a1
152905db1286
hex1749a9ea89

100020120201 has 24 divisors (see below), whose sum is σ = 147928356576. Its totient is φ = 65087527680.

The previous prime is 100020120199. The next prime is 100020120203. The reversal of 100020120201 is 102021020001.

It is an interprime number because it is at equal distance from previous prime (100020120199) and next prime (100020120203).

It is not a de Polignac number, because 100020120201 - 21 = 100020120199 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100020120203) 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 23 ways as a sum of consecutive naturals, for example, 525721 + ... + 690233.

It is an arithmetic number, because the mean of its divisors is an integer number (6163681524).

Almost surely, 2100020120201 is an apocalyptic number.

It is an amenable number.

100020120201 is a deficient number, since it is larger than the sum of its proper divisors (47908236375).

100020120201 is a wasteful number, since it uses less digits than its factorization.

100020120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166133 (or 166130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100020120201 its reverse (102021020001), we get a palindrome (202041140202).

The spelling of 100020120201 in words is "one hundred billion, twenty million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 9 43 129 387 1571 4713 14139 67553 164513 202659 493539 607977 1480617 7074059 21222177 63666531 258449923 775349769 2326049307 11113346689 33340040067 100020120201