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101122010021111 = 10110937326779199
BaseRepresentation
bin10110111111100001001101…
…011111000111110011110111
3111021001011120202010012212112
4112333201031133013303313
5101223240334031133421
6555022450551241235
730204552451023452
oct2677411537076367
9437034522105775
10101122010021111
112a247670458862
12b41215867921b
1344569c2b71541
141ad848d508499
15ba56376cd45b
hex5bf84d7c7cf7

101122010021111 has 32 divisors (see below), whose sum is σ = 103386268128000. Its totient is φ = 98888595724800.

The previous prime is 101122010021023. The next prime is 101122010021129. The reversal of 101122010021111 is 111120010221101.

It is a cyclic number.

It is not a de Polignac number, because 101122010021111 - 242 = 96723963510007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122010024111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10992713090 + ... + 10992722288.

It is an arithmetic number, because the mean of its divisors is an integer number (3230820879000).

Almost surely, 2101122010021111 is an apocalyptic number.

101122010021111 is a deficient number, since it is larger than the sum of its proper divisors (2264258106889).

101122010021111 is a wasteful number, since it uses less digits than its factorization.

101122010021111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12459.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101122010021111 its reverse (111120010221101), we get a palindrome (212242020242212).

The spelling of 101122010021111 in words is "one hundred one trillion, one hundred twenty-two billion, ten million, twenty-one thousand, one hundred eleven".

Divisors: 1 101 109 373 2677 9199 11009 37673 40657 270377 291793 929099 998521 1002691 3431227 4106357 24625723 29471093 100850621 101271791 108838789 346553927 374003743 2487198023 2684203807 9185394679 10992717689 37774378043 271104584507 927724862579 1001208020011 101122010021111