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10120210100 = 225272112132101
BaseRepresentation
bin10010110110011011…
…00010011010110100
3222010021221221101022
421123031202122310
5131211233210400
64352115120312
7505534236500
oct113315423264
928107857338
1010120210100
11432365a700
121b652a3098
13c53888c00
146c00d5300
153e3705b85
hex25b3626b4

10120210100 has 486 divisors, whose sum is σ = 30707007282. Its totient is φ = 2882880000.

The previous prime is 10120210099. The next prime is 10120210129. The reversal of 10120210100 is 101202101.

Added to its reverse (101202101) it gives a square (10221412201 = 1011012).

10120210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 3533589136 + 6586620964 = 59444^2 + 81158^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 100200050 + ... + 100200150.

Almost surely, 210120210100 is an apocalyptic number.

10120210100 is a gapful number since it is divisible by the number (10) 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 10120210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15353503641).

10120210100 is an abundant number, since it is smaller than the sum of its proper divisors (20586797182).

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

10120210100 is a wasteful number, since it uses less digits than its factorization.

10120210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120210100 its reverse (101202101), we get a palindrome (10221412201).

10120210100 divided by its reverse (101202101) gives a square (100 = 102).

The spelling of 10120210100 in words is "ten billion, one hundred twenty million, two hundred ten thousand, one hundred".