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10011210121 = 1117531636197
BaseRepresentation
bin10010101001011011…
…01111000110001001
3221211200212011112001
421110231233012021
5131000332210441
64333222551001
7503041611343
oct112455570611
927750764461
1010011210121
114278081380
121b34898461
13c37113a93
146ad840293
153d8d74731
hex254b6f189

10011210121 has 32 divisors (see below), whose sum is σ = 11856129408. Its totient is φ = 8351216640.

The previous prime is 10011210119. The next prime is 10011210127. The reversal of 10011210121 is 12101211001.

10011210121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10011210121 - 21 = 10011210119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011210098 and 10011210107.

It is not an unprimeable number, because it can be changed into a prime (10011210127) 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 31 ways as a sum of consecutive naturals, for example, 1612395 + ... + 1618591.

It is an arithmetic number, because the mean of its divisors is an integer number (370504044).

Almost surely, 210011210121 is an apocalyptic number.

10011210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011210121 is a deficient number, since it is larger than the sum of its proper divisors (1844919287).

10011210121 is a wasteful number, since it uses less digits than its factorization.

10011210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011210121 its reverse (12101211001), we get a palindrome (22112421122).

It can be divided in two parts, 1001 and 1210121, that multiplied together give a palindrome (1211331121).

The spelling of 10011210121 in words is "ten billion, eleven million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 11 17 53 163 187 583 901 1793 2771 6197 8639 9911 30481 68167 95029 105349 146863 328441 1010111 1158839 1615493 3612851 5583497 11111221 17171887 53535883 61418467 188890757 588894713 910110011 10011210121