| Base | Representation |
|---|---|
| bin | 10110111111001110100100… |
| … | …111011000010010101010100 |
| 3 | 111020222020221100201112100210 |
| 4 | 112333032210323002111110 |
| 5 | 101222423400020320040 |
| 6 | 555005341340405420 |
| 7 | 30203243601461346 |
| oct | 2677164473022524 |
| 9 | 436866840645323 |
| 10 | 101102002120020 |
| 11 | 2a23a133522610 |
| 12 | b40a2b3b46870 |
| 13 | 4454b5495b505 |
| 14 | 1ad7512167296 |
| 15 | ba4d65e01480 |
| hex | 5bf3a4ec2554 |
101102002120020 has 288 divisors, whose sum is σ = 316074589084800. Its totient is φ = 23945896089600.
The previous prime is 101102002120013. The next prime is 101102002120073. The reversal of 101102002120020 is 20021200201101.
101102002120020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1011020021200202 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 101102002119978 and 101102002120005.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365784994 + ... + 366061286.
It is an arithmetic number, because the mean of its divisors is an integer number (1097481212100).
Almost surely, 2101102002120020 is an apocalyptic number.
101102002120020 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 101102002120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158037294542400).
101102002120020 is an abundant number, since it is smaller than the sum of its proper divisors (214972586964780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101102002120020 is a wasteful number, since it uses less digits than its factorization.
101102002120020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 276587 (or 276524 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 101102002120020 its reverse (20021200201101), we get a palindrome (121123202321121).
The spelling of 101102002120020 in words is "one hundred one trillion, one hundred two billion, two million, one hundred twenty thousand, twenty".
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