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10101112021 = 7111310091021
BaseRepresentation
bin10010110100001001…
…01011110011010101
3222001222000122202001
421122010223303111
5131141341041041
64350153515301
7505213015120
oct113204536325
928058018661
1010101112021
1143138a5a70
121b5aa12b31
13c4c930180
146bb7633b7
153e1bd2131
hex25a12bcd5

10101112021 has 16 divisors (see below), whose sum is σ = 13562333568. Its totient is φ = 7265534400.

The previous prime is 10101111997. The next prime is 10101112027. The reversal of 10101112021 is 12021110101.

10101112021 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 10101112021 - 25 = 10101111989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101111989 and 10101112007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101112027) 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, 5044510 + ... + 5046511.

It is an arithmetic number, because the mean of its divisors is an integer number (847645848).

Almost surely, 210101112021 is an apocalyptic number.

10101112021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101112021 is a deficient number, since it is larger than the sum of its proper divisors (3461221547).

10101112021 is a wasteful number, since it uses less digits than its factorization.

10101112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10091052.

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

Adding to 10101112021 its reverse (12021110101), we get a palindrome (22122222122).

The spelling of 10101112021 in words is "ten billion, one hundred one million, one hundred twelve thousand, twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 10091021 70637147 111001231 131183273 777008617 918282911 1443016003 10101112021