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10010120101212 = 223711791014572971
BaseRepresentation
bin1001000110101010100110…
…1001110001110101011100
31022102221212110222122211210
42101222221221301311130
52303001211221214322
633142330301544420
72052131051651460
oct221525151616534
938387773878753
1010010120101212
11320a2a4919930
121158040b75110
13577c479a69aa
142686c71d64a0
151255bd62670c
hex91aa9a71d5c

10010120101212 has 384 divisors, whose sum is σ = 29856143278080. Its totient is φ = 2535287040000.

The previous prime is 10010120101211. The next prime is 10010120101229. The reversal of 10010120101212 is 21210102101001.

10010120101212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100101201012122 (a number of 27 digits) contains 22 as substring.

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 (10010120101211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3369274887 + ... + 3369277857.

It is an arithmetic number, because the mean of its divisors is an integer number (77750373120).

Almost surely, 210010120101212 is an apocalyptic number.

10010120101212 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 10010120101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928071639040).

10010120101212 is an abundant number, since it is smaller than the sum of its proper divisors (19846023176868).

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

10010120101212 is a wasteful number, since it uses less digits than its factorization.

10010120101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3631 counting only the distinct ones).

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

Adding to 10010120101212 its reverse (21210102101001), we get a palindrome (31220222202213).

The spelling of 10010120101212 in words is "ten trillion, ten billion, one hundred twenty million, one hundred one thousand, two hundred twelve".