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1101021010012 = 2271137914876343
BaseRepresentation
bin10000000001011001111…
…101110101100001011100
310220020221001021110011101
4100001121331311201130
5121014342334310022
62201445125202444
7142355220112060
oct20013175654134
93806831243141
101101021010012
11394a38724a20
12159475860424
137ca97490501
143b40ad23aa0
151d990432627
hex10059f7585c

1101021010012 has 96 divisors (see below), whose sum is σ = 2410565713920. Its totient is φ = 427482256320.

The previous prime is 1101021010003. The next prime is 1101021010021. The reversal of 1101021010012 is 2100101201011.

It is an interprime number because it is at equal distance from previous prime (1101021010003) and next prime (1101021010021).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173577313 + ... + 173583655.

It is an arithmetic number, because the mean of its divisors is an integer number (25110059520).

Almost surely, 21101021010012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101021010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205282856960).

1101021010012 is an abundant number, since it is smaller than the sum of its proper divisors (1309544703908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1101021010012 is a wasteful number, since it uses less digits than its factorization.

1101021010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8229 counting only the distinct ones).

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

Adding to 1101021010012 its reverse (2100101201011), we get a palindrome (3201122211023).

The spelling of 1101021010012 in words is "one trillion, one hundred one billion, twenty-one million, ten thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 379 758 1487 1516 2653 2974 4169 5306 5948 6343 8338 10409 10612 12686 16357 16676 20818 25372 29183 32714 41636 44401 58366 65428 69773 88802 114499 116732 139546 177604 228998 279092 457996 488411 563573 976822 1127146 1953644 2254292 2403997 3945011 4807994 6199303 7890022 9432041 9615988 12398606 15780044 16827979 18864082 24797212 26443967 33655958 37728164 43395121 52887934 66024287 67311916 86790242 103752451 105775868 132048574 173580484 185107769 207504902 264097148 370215538 415009804 726267157 740431076 1452534314 2905068628 3574743539 7149487078 14298974156 25023204773 39322178929 50046409546 78644357858 100092819092 157288715716 275255252503 550510505006 1101021010012