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10101111021 = 333112068233
BaseRepresentation
bin10010110100001001…
…01011100011101101
3222001222000121101000
421122010223203231
5131141341023041
64350153510513
7505213012161
oct113204534355
928058017330
1010101111021
1143138a5241
121b5aa12439
13c4c92c891
146bb762ca1
153e1bd1bb6
hex25a12b8ed

10101111021 has 16 divisors (see below), whose sum is σ = 15447339520. Its totient is φ = 6516845280.

The previous prime is 10101111011. The next prime is 10101111023. The reversal of 10101111021 is 12011110101.

10101111021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10101111021 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101110994 and 10101111012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101111023) 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 15 ways as a sum of consecutive naturals, for example, 6033280 + ... + 6034953.

It is an arithmetic number, because the mean of its divisors is an integer number (965458720).

Almost surely, 210101111021 is an apocalyptic number.

It is an amenable number.

10101111021 is a deficient number, since it is larger than the sum of its proper divisors (5346228499).

10101111021 is a wasteful number, since it uses less digits than its factorization.

10101111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12068273 (or 12068267 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101111021 its reverse (12011110101), we get a palindrome (22112221122).

The spelling of 10101111021 in words is "ten billion, one hundred one million, one hundred eleven thousand, twenty-one".

Divisors: 1 3 9 27 31 93 279 837 12068233 36204699 108614097 325842291 374115223 1122345669 3367037007 10101111021