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100020122001 = 343074022203
BaseRepresentation
bin101110100100110101…
…0011111000110010001
3100120011120111122110000
41131021222133012101
53114320122401001
6113540522200213
710140410003142
oct1351152370621
9316146448400
10100020122001
113946682a058
1217474653069
13957ca36557
144bab9bbac9
152905db1a86
hex1749a9f191

100020122001 has 20 divisors (see below), whose sum is σ = 149899498672. Its totient is φ = 66462865848.

The previous prime is 100020121963. The next prime is 100020122051. The reversal of 100020122001 is 100221020001.

It is not a de Polignac number, because 100020122001 - 29 = 100020121489 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100020122051) 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 19 ways as a sum of consecutive naturals, for example, 1986235 + ... + 2035968.

Almost surely, 2100020122001 is an apocalyptic number.

It is an amenable number.

100020122001 is a deficient number, since it is larger than the sum of its proper divisors (49879376671).

100020122001 is an equidigital number, since it uses as much as digits as its factorization.

100020122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022522 (or 4022513 counting only the distinct ones).

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

Adding to 100020122001 its reverse (100221020001), we get a palindrome (200241142002).

The spelling of 100020122001 in words is "one hundred billion, twenty million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 27 81 307 921 2763 8289 24867 4022203 12066609 36199827 108599481 325798443 1234816321 3704448963 11113346889 33340040667 100020122001