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22010210102101 = 1319721169405989
BaseRepresentation
bin1010000000100101001101…
…10000010010101101010101
32212221011012101102021122111
411000102212300102231111
510341103402241231401
6114451203445031021
74431120344662324
oct500224660225525
985834171367574
1022010210102101
117016528885731
1225758869b5471
13c38727c18a30
1456142ab220bb
152828093c3e51
hex1404a6c12b55

22010210102101 has 16 divisors (see below), whose sum is σ = 23824808607600. Its totient is φ = 20212979770368.

The previous prime is 22010210102071. The next prime is 22010210102119. The reversal of 22010210102101 is 10120101201022.

It can be written as a sum of positive squares in 8 ways, for example, as 1626520173201 + 20383689928900 = 1275351^2 + 4514830^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22010210102101 is a prime.

It is a super-2 number, since 2×220102101021012 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010210102131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54010815 + ... + 54416803.

It is an arithmetic number, because the mean of its divisors is an integer number (1489050537975).

Almost surely, 222010210102101 is an apocalyptic number.

It is an amenable number.

22010210102101 is a deficient number, since it is larger than the sum of its proper divisors (1814598505499).

22010210102101 is a wasteful number, since it uses less digits than its factorization.

22010210102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427368.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22010210102101 its reverse (10120101201022), we get a palindrome (32130311303123).

The spelling of 22010210102101 in words is "twenty-two trillion, ten billion, two hundred ten million, one hundred two thousand, one hundred one".

Divisors: 1 13 197 2561 21169 275197 405989 4170293 5277857 54213809 79979833 1039737829 8594381141 111726954833 1693093084777 22010210102101