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10010122101 = 337107494987
BaseRepresentation
bin10010101001010011…
…00101011101110101
3221211121210220001000
421110221211131311
5131000042401401
64333143353513
7503026430310
oct112451453565
927747726030
1010010122101
1142774a8991
121b34452899
13c36b22795
146ad639977
153d8c0c186
hex254a65775

10010122101 has 32 divisors (see below), whose sum is σ = 17106785280. Its totient is φ = 5666599728.

The previous prime is 10010122099. The next prime is 10010122151. The reversal of 10010122101 is 10122101001.

It is a happy number.

10010122101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010122101 - 21 = 10010122099 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 (10010122151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227271 + ... + 267716.

It is an arithmetic number, because the mean of its divisors is an integer number (534587040).

Almost surely, 210010122101 is an apocalyptic number.

It is an amenable number.

10010122101 is a deficient number, since it is larger than the sum of its proper divisors (7096663179).

10010122101 is a wasteful number, since it uses less digits than its factorization.

10010122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495110 (or 495104 counting only the distinct ones).

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

Adding to 10010122101 its reverse (10122101001), we get a palindrome (20132223102).

The spelling of 10010122101 in words is "ten billion, ten million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 3 7 9 21 27 63 107 189 321 749 963 2247 2889 6741 20223 494987 1484961 3464909 4454883 10394727 13364649 31184181 52963609 93552543 158890827 370745263 476672481 1112235789 1430017443 3336707367 10010122101