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10020311210101 = 2322318211107279
BaseRepresentation
bin1001000111010000100100…
…0101110001100001110101
31022110221011201100122002011
42101310021011301201311
52303133044132210401
633151133432444221
72052641436650263
oct221641105614165
938427151318064
1010020311210101
1132136544a3875
12115a005b49671
13578bb015753a
14268db28a5433
151259b8184451
hex91d09171875

10020311210101 has 16 divisors (see below), whose sum is σ = 10503539343360. Its totient is φ = 9541052143920.

The previous prime is 10020311210053. The next prime is 10020311210149. The reversal of 10020311210101 is 10101211302001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10020311210053) and next prime (10020311210149).

It is a cyclic number.

It is not a de Polignac number, because 10020311210101 - 29 = 10020311209589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020311210801) 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 15 ways as a sum of consecutive naturals, for example, 93350580 + ... + 93457858.

It is an arithmetic number, because the mean of its divisors is an integer number (656471208960).

Almost surely, 210020311210101 is an apocalyptic number.

It is an amenable number.

10020311210101 is a deficient number, since it is larger than the sum of its proper divisors (483228133259).

10020311210101 is a wasteful number, since it uses less digits than its factorization.

10020311210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125736.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10020311210101 its reverse (10101211302001), we get a palindrome (20121522512102).

The spelling of 10020311210101 in words is "ten trillion, twenty billion, three hundred eleven million, two hundred ten thousand, one hundred one".

Divisors: 1 23 223 5129 18211 107279 418853 2467417 4061053 23923217 93404219 550233991 1953657869 44934130987 435665704787 10020311210101