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101011221012 = 223133311956217
BaseRepresentation
bin101111000010010111…
…1001110101000010100
3100122201122102200200210
41132010233032220110
53123332333033022
6114223125005420
710204103132502
oct1360457165024
9318648380623
10101011221012
1139925223449
12176b0553870
1396aa178180
144c6348d672
152962dd5a0c
hex1784bcea14

101011221012 has 48 divisors (see below), whose sum is σ = 254590035392. Its totient is φ = 30986461440.

The previous prime is 101011221011. The next prime is 101011221019. The reversal of 101011221012 is 210122110101.

It is a super-3 number, since 3×1010112210123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011221011) 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, 926473 + ... + 1029744.

Almost surely, 2101011221012 is an apocalyptic number.

101011221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011221012 is an abundant number, since it is smaller than the sum of its proper divisors (153578814380).

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

101011221012 is a wasteful number, since it uses less digits than its factorization.

101011221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956568 (or 1956566 counting only the distinct ones).

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

Adding to 101011221012 its reverse (210122110101), we get a palindrome (311133331113).

The spelling of 101011221012 in words is "one hundred one billion, eleven million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 331 662 993 1324 1986 3972 4303 8606 12909 17212 25818 51636 1956217 3912434 5868651 7824868 11737302 23474604 25430821 50861642 76292463 101723284 152584926 305169852 647507827 1295015654 1942523481 2590031308 3885046962 7770093924 8417601751 16835203502 25252805253 33670407004 50505610506 101011221012