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10211020101 = 327938936919
BaseRepresentation
bin10011000001001111…
…11100110101000101
3222100121211120021200
421200213330311011
5131403010120401
64405121333113
7511016144622
oct114047746505
928317746250
1010211020101
11436a944597
121b8b797199
13c69632739
146cc1b3349
153eb692686
hex2609fcd45

10211020101 has 24 divisors (see below), whose sum is σ = 14974752000. Its totient is φ = 6703718112.

The previous prime is 10211020073. The next prime is 10211020103. The reversal of 10211020101 is 10102011201.

It is a happy number.

10211020101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10211020101 - 214 = 10211003717 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211020103) 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 23 ways as a sum of consecutive naturals, for example, 258120 + ... + 295038.

It is an arithmetic number, because the mean of its divisors is an integer number (623948000).

Almost surely, 210211020101 is an apocalyptic number.

It is an amenable number.

10211020101 is a deficient number, since it is larger than the sum of its proper divisors (4763731899).

10211020101 is a wasteful number, since it uses less digits than its factorization.

10211020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37393 (or 37390 counting only the distinct ones).

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

Adding to 10211020101 its reverse (10102011201), we get a palindrome (20313031302).

The spelling of 10211020101 in words is "ten billion, two hundred eleven million, twenty thousand, one hundred one".

Divisors: 1 3 9 79 237 389 711 1167 3501 30731 36919 92193 110757 276579 332271 2916601 8749803 14361491 26249409 43084473 129253419 1134557789 3403673367 10211020101