| Base | Representation |
|---|---|
| bin | 10110110000101011010110… |
| … | …110001100100111011001100 |
| 3 | 111010102200001020101221020210 |
| 4 | 112300223112301210323030 |
| 5 | 101110033110421333400 |
| 6 | 552522135222242420 |
| 7 | 30041065426303614 |
| oct | 2660532661447314 |
| 9 | 433380036357223 |
| 10 | 100102111121100 |
| 11 | 29994081086860 |
| 12 | b288562586410 |
| 13 | 43b178613846a |
| 14 | 1aa0d7a3b5a44 |
| 15 | b88d4401b950 |
| hex | 5b0ad6c64ecc |
100102111121100 has 576 divisors, whose sum is σ = 324946901067264. Its totient is φ = 23587200000000.
The previous prime is 100102111121099. The next prime is 100102111121101. The reversal of 100102111121100 is 1121111201001.
100102111121100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (100102111121099) and next prime (100102111121101).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (100102111121101) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11121216600 + ... + 11121225600.
It is an arithmetic number, because the mean of its divisors is an integer number (564143925464).
Almost surely, 2100102111121100 is an apocalyptic number.
100102111121100 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 100102111121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162473450533632).
100102111121100 is an abundant number, since it is smaller than the sum of its proper divisors (224844789946164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100102111121100 is a wasteful number, since it uses less digits than its factorization.
100102111121100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9738 (or 9731 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 12.
Adding to 100102111121100 its reverse (1121111201001), we get a palindrome (101223222322101).
It can be divided in two parts, 1001021 and 11121100, that added together give a palindrome (12122121).
The spelling of 100102111121100 in words is "one hundred trillion, one hundred two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred".
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