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100212111221 = 1012041148611
BaseRepresentation
bin101110101010100011…
…0110111011101110101
3100120122221202201010212
41131111012313131311
53120213300024341
6114011541155205
710145230614365
oct1352506673565
9316587681125
10100212111221
1139555140432
12175089bbb05
1395b0747541
144bc92b69a5
152917b875eb
hex17551b7775

100212111221 has 8 divisors (see below), whose sum is σ = 101211350688. Its totient is φ = 99213010000.

The previous prime is 100212111211. The next prime is 100212111239. The reversal of 100212111221 is 122111212001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100212111221 - 214 = 100212094837 is a prime.

It is a super-2 number, since 2×1002121112212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212111196 and 100212111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212111211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2037206 + ... + 2085816.

It is an arithmetic number, because the mean of its divisors is an integer number (12651418836).

Almost surely, 2100212111221 is an apocalyptic number.

It is an amenable number.

100212111221 is a deficient number, since it is larger than the sum of its proper divisors (999239467).

100212111221 is a wasteful number, since it uses less digits than its factorization.

100212111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69123.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100212111221 its reverse (122111212001), we get a palindrome (222323323222).

The spelling of 100212111221 in words is "one hundred billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 101 20411 48611 2061511 4909711 992199121 100212111221