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10010100122112 = 293193179140057
BaseRepresentation
bin1001000110101010100001…
…1101100100001000000000
31022102221211002101121200010
42101222220131210020000
52303001141112401422
633142324305424520
72052130420100406
oct221525035441000
938387732347603
1010010100122112
11320a294613282
12115803633b140
13577c437ccc3c
142686c46b5476
151255bb9cbb0c
hex91aa8764200

10010100122112 has 320 divisors, whose sum is σ = 29343607603200. Its totient is φ = 3020369264640.

The previous prime is 10010100121993. The next prime is 10010100122159. The reversal of 10010100122112 is 21122100101001.

It is a super-2 number, since 2×100101001221122 (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71401588 + ... + 71541644.

It is an arithmetic number, because the mean of its divisors is an integer number (91698773760).

Almost surely, 210010100122112 is an apocalyptic number.

10010100122112 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 10010100122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671803801600).

10010100122112 is an abundant number, since it is smaller than the sum of its proper divisors (19333507481088).

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

10010100122112 is a wasteful number, since it uses less digits than its factorization.

10010100122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140207 (or 140191 counting only the distinct ones).

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

Adding to 10010100122112 its reverse (21122100101001), we get a palindrome (31132200223113).

The spelling of 10010100122112 in words is "ten trillion, ten billion, one hundred million, one hundred twenty-two thousand, one hundred twelve".