| Base | Representation |
|---|---|
| bin | 101111000010010111… |
| … | …1001010000000110100 |
| 3 | 100122201122101201202100 |
| 4 | 1132010233022000310 |
| 5 | 3123332331431400 |
| 6 | 114223124342100 |
| 7 | 10204103023404 |
| oct | 1360457120064 |
| 9 | 318648351670 |
| 10 | 101011202100 |
| 11 | 39925210216 |
| 12 | 176b0544930 |
| 13 | 96aa16c693 |
| 14 | 4c63486804 |
| 15 | 2962dd0100 |
| hex | 1784bca034 |
101011202100 has 216 divisors, whose sum is σ = 328406715000. Its totient is φ = 25938017280.
The previous prime is 101011202057. The next prime is 101011202101. The reversal of 101011202100 is 1202110101.
It is a happy number.
101011202100 is digitally balanced in base 3, 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 12 ways, for example, as 43362231696 + 57648970404 = 208236^2 + 240102^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101011202101) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10147926 + ... + 10157874.
Almost surely, 2101011202100 is an apocalyptic number.
101011202100 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 101011202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164203357500).
101011202100 is an abundant number, since it is smaller than the sum of its proper divisors (227395512900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101011202100 is a wasteful number, since it uses less digits than its factorization.
101011202100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10387 (or 10377 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 101011202100 its reverse (1202110101), we get a palindrome (102213312201).
It can be divided in two parts, 10101 and 1202100, that added together give a square (1212201 = 11012).
The spelling of 101011202100 in words is "one hundred one billion, eleven million, two hundred two thousand, one hundred".
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