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10101220212012 = 223173753117121563
BaseRepresentation
bin1001001011111101111110…
…1001000111110100101100
31022202200000101220210021120
42102333133221013310230
52310444244333241022
633252234141300540
72061534440062236
oct222773751076454
938680011823246
1010101220212012
1132449a35204a6
121171826264750
135837056b81b7
1426cc8a261256
15127b5135bd5c
hex92fdfa47d2c

10101220212012 has 192 divisors, whose sum is σ = 26137547057664. Its totient is φ = 3022461112320.

The previous prime is 10101220211963. The next prime is 10101220212019. The reversal of 10101220212012 is 21021202210101.

It is a junction number, because it is equal to n+sod(n) for n = 10101220211982 and 10101220212000.

It is not an unprimeable number, because it can be changed into a prime (10101220212019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468440743 + ... + 468462305.

It is an arithmetic number, because the mean of its divisors is an integer number (136133057592).

Almost surely, 210101220212012 is an apocalyptic number.

10101220212012 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 10101220212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13068773528832).

10101220212012 is an abundant number, since it is smaller than the sum of its proper divisors (16036326845652).

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

10101220212012 is a wasteful number, since it uses less digits than its factorization.

10101220212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22848 (or 22846 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10101220212012 its reverse (21021202210101), we get a palindrome (31122422422113).

The spelling of 10101220212012 in words is "ten trillion, one hundred one billion, two hundred twenty million, two hundred twelve thousand, twelve".