| Base | Representation |
|---|---|
| bin | 1001001011111010010000… |
| … | …1010100000010011110100 |
| 3 | 1022202120102212020010122020 |
| 4 | 2102332210022200103310 |
| 5 | 2310440223404030400 |
| 6 | 33251551133233140 |
| 7 | 2061500632162440 |
| oct | 222764412402364 |
| 9 | 38676385203566 |
| 10 | 10100222330100 |
| 11 | 3244531214001 |
| 12 | 11715a80327b0 |
| 13 | 5835a6a40126 |
| 14 | 26cbd3905820 |
| 15 | 127ae39482a0 |
| hex | 92fa42a04f4 |
10100222330100 has 576 divisors, whose sum is σ = 36360264794112. Its totient is φ = 2111920128000.
The previous prime is 10100222330087. The next prime is 10100222330111. The reversal of 10100222330100 is 103322200101.
It is a super-2 number, since 2×101002223301002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 10100222330100.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 396649969 + ... + 396675431.
It is an arithmetic number, because the mean of its divisors is an integer number (63125459712).
Almost surely, 210100222330100 is an apocalyptic number.
10100222330100 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 10100222330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180132397056).
10100222330100 is an abundant number, since it is smaller than the sum of its proper divisors (26260042464012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10100222330100 is a wasteful number, since it uses less digits than its factorization.
10100222330100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25816 (or 25809 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 10100222330100 its reverse (103322200101), we get a palindrome (10203544530201).
The spelling of 10100222330100 in words is "ten trillion, one hundred billion, two hundred twenty-two million, three hundred thirty thousand, one hundred".
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