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101021110212 = 2231137101204793
BaseRepresentation
bin101111000010101010…
…0111100111111000100
3100122202100001010010110
41132011110330333010
53123342401011322
6114224120553020
710204253161131
oct1360524747704
9318670033113
10101021110212
113992a868340
12176b3922770
1396ac22b479
144c64905588
152963bdac0c
hex178553cfc4

101021110212 has 96 divisors (see below), whose sum is σ = 266710598784. Its totient is φ = 29490048000.

The previous prime is 101021110207. The next prime is 101021110217. The reversal of 101021110212 is 212011120101.

It is an interprime number because it is at equal distance from previous prime (101021110207) and next prime (101021110217).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101021110217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390888 + ... + 595680.

It is an arithmetic number, because the mean of its divisors is an integer number (2778235404).

Almost surely, 2101021110212 is an apocalyptic number.

101021110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133355299392).

101021110212 is an abundant number, since it is smaller than the sum of its proper divisors (165689488572).

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

101021110212 is a wasteful number, since it uses less digits than its factorization.

101021110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204949 (or 204947 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101021110212 its reverse (212011120101), we get a palindrome (313032230313).

The spelling of 101021110212 in words is "one hundred one billion, twenty-one million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 101 111 132 148 202 222 303 404 407 444 606 814 1111 1212 1221 1628 2222 2442 3333 3737 4444 4884 6666 7474 11211 13332 14948 22422 41107 44844 82214 123321 164428 204793 246642 409586 493284 614379 819172 1228758 2252723 2457516 4505446 6758169 7577341 9010892 13516338 15154682 20684093 22732023 27032676 30309364 41368186 45464046 62052279 82736372 83350751 90928092 124104558 166701502 227525023 248209116 250052253 333403004 455050046 500104506 682575069 765311441 910100092 1000209012 1365150138 1530622882 2295934323 2730300276 3061245764 4591868646 8418425851 9183737292 16836851702 25255277553 33673703404 50510555106 101021110212