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101221212020112 = 243223376071360789
BaseRepresentation
bin10111000000111101100110…
…011000101101110110010000
3111021101122122022011220112200
4113000331212120231312100
5101231402020234120422
6555140214410323200
730214663665062442
oct2700754630556620
9437348568156480
10101221212020112
112a2857473989a8
12b429423129500
13446317224ac32
141add1c05a0492
15ba7ee18382ac
hex5c0f6662dd90

101221212020112 has 240 divisors, whose sum is σ = 304084702571520. Its totient is φ = 31349420264448.

The previous prime is 101221212020083. The next prime is 101221212020119. The reversal of 101221212020112 is 211020212122101.

101221212020112 is a `hidden beast` number, since 101 + 221 + 212 + 0 + 20 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101221212020119) 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 47 ways as a sum of consecutive naturals, for example, 73703814 + ... + 75064602.

It is an arithmetic number, because the mean of its divisors is an integer number (1267019594048).

Almost surely, 2101221212020112 is an apocalyptic number.

101221212020112 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 101221212020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152042351285760).

101221212020112 is an abundant number, since it is smaller than the sum of its proper divisors (202863490551408).

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

101221212020112 is a wasteful number, since it uses less digits than its factorization.

101221212020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361470 (or 1361461 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101221212020112 its reverse (211020212122101), we get a palindrome (312241424142213).

The spelling of 101221212020112 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twelve million, twenty thousand, one hundred twelve".