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100101001001211 = 3273494552735753
BaseRepresentation
bin10110110000101010010100…
…100110110011100011111011
3111010102120011212112000001100
4112300222110212303203323
5101110023322224014321
6552521433124422443
730041026056401520
oct2660522446634373
9433376155460040
10100101001001211
112999366148a301
12b2882b2847a23
1343b163a1534a2
141aa0cb2ba1147
15b88ccb837326
hex5b0a949b38fb

100101001001211 has 24 divisors (see below), whose sum is σ = 165719581445600. Its totient is φ = 57036673501056.

The previous prime is 100101001001207. The next prime is 100101001001257. The reversal of 100101001001211 is 112100100101001.

It is not a de Polignac number, because 100101001001211 - 22 = 100101001001207 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 = 100101001001193 and 100101001001202.

It is not an unprimeable number, because it can be changed into a prime (100101001041211) 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, 2276345890 + ... + 2276389863.

Almost surely, 2100101001001211 is an apocalyptic number.

100101001001211 is a deficient number, since it is larger than the sum of its proper divisors (65618580444389).

100101001001211 is a wasteful number, since it uses less digits than its factorization.

100101001001211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552736115 (or 4552736112 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100101001001211 its reverse (112100100101001), we get a palindrome (212201101102212).

The spelling of 100101001001211 in words is "one hundred trillion, one hundred one billion, one million, one thousand, two hundred eleven".

Divisors: 1 3 7 9 21 63 349 1047 2443 3141 7329 21987 4552735753 13658207259 31869150271 40974621777 95607450813 286822352439 1588904777797 4766714333391 11122333444579 14300143000173 33367000333737 100101001001211