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101210002101 = 32133979192371
BaseRepresentation
bin101111001000010010…
…1100001001010110101
3100200020111110211002100
41132100211201022311
53124234230031401
6114254545332313
710212035552265
oct1362045411265
9320214424070
10101210002101
1139a1745363a
1217747037099
13970c3c6710
144c81a357a5
15297559db86
hex17909612b5

101210002101 has 48 divisors (see below), whose sum is σ = 158072736640. Its totient is φ = 62032417920.

The previous prime is 101210002099. The next prime is 101210002141. The reversal of 101210002101 is 101200012101.

It is a happy number.

It is not a de Polignac number, because 101210002101 - 21 = 101210002099 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210002141) 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 47 ways as a sum of consecutive naturals, for example, 42685446 + ... + 42687816.

Almost surely, 2101210002101 is an apocalyptic number.

It is an amenable number.

101210002101 is a deficient number, since it is larger than the sum of its proper divisors (56862734539).

101210002101 is a wasteful number, since it uses less digits than its factorization.

101210002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3703 counting only the distinct ones).

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

Adding to 101210002101 its reverse (101200012101), we get a palindrome (202410014202).

The spelling of 101210002101 in words is "one hundred one billion, two hundred ten million, two thousand, one hundred one".

Divisors: 1 3 9 13 39 117 397 919 1191 2371 2757 3573 5161 7113 8271 11947 15483 21339 30823 35841 46449 92469 107523 277407 364843 941287 1094529 2178949 2823861 3283587 4742959 6536847 8471583 12236731 14228877 19610541 28326337 36710193 42686631 84979011 110130579 254937033 865042753 2595128259 7785384777 11245555789 33736667367 101210002101